It is the Cat Hair that is missing!!
This took a lot of time but your problem has finally been solved.
The neighborhood here pulled together after I explained the severity of the problem and they have been working on it for several days. Not much time each but several days nonetheless. Any deviation from this complex process may result in complete success.
Expose a sheet of 11x14 direct positive paper (Ilford is your best choice but you can make your own if you are so inclined) in your 11x14 camera using a 35mm Summicron in a Nooky. This will require a special lens board made from a Quaker Oats box, use only the Old Fashioned box since the Quick Oats box doesn't have enough stamina.
Develop the paper normally using Caffenol or Dee76 or Peero or any other developer you have been wanting to try out. Once the paper has been developed fill your bathtub with fresh water and drop the paper in for washing. Don't worry about the fixing step, as you will soon see this is not critical to our process. Now, go next door and get your neighbor's two cats. (I told you the neighborhood worked together on this project.) For this next step you will need a sliding glass door installed on your tub. If this is not available you may want to have an ambulance on standby.
Carry the cat carefully into the bathroom by the scruff of his neck (this is how his momma used to carry him so he will feel loved and be lulled into a relaxed state.) Now, carefully lift him over the top of the sliding glass door and drop him into the fresh water. Don't worry, he will not be hurt by this. Everyone knows cats land on their feet. The water, though harmless, will likely stress him a little bit and he may make some noises.
Once the noise and agitation in the tub has dropped to a dull roar your print is almost certainly washed and you can now open the sliding glass door. I recommend that you have the bathroom door open and that you stand on the toilet when you do this. Wearing shorts and flip-flops is also not a good idea. Take my word for this as several neighbors required stitches while we were perfecting this step.
Once the cat has left the house it is now safe to retrieve your paper negative. It is likely that it will be in many pieces at this point so you will need a 11x14 poster board and a can of 3M Adhesive Spray. Spray the board and mount the pieces on the board. It is not critical that they be reassembled as they were prior to the washing step. In fact, this may turn out to be quite difficult. Once all the pieces you can find are stuck to the mounting board lie it in the bottom of the tub. Drain the water first of course. We forgot this step once and had to start all over again. The hardest part was catching that cat again.
Now, go retrieve the 2nd cat. Remember the 2nd cat? Don't feel too bad if you lost him, we lost several 2nd cats as well. You didn't believe me when I told you this took quite awhile did you? Anyway, hopefully you have the 2nd cat because it will most likely be tough to find the first cat. Put on some protective clothing. A welding helmet, leathers, heavy canvas jackets and elbow length leather gloves are a good start. Carry the 2nd cat into bathroom and rub his fur vigorously, and lovingly, while holding the cat over your drying masterpiece in the tub. The 2nd cat will almost enjoy this loving massage but may still want to leave the bathroom at this time. Actually it is pretty likely he will have wanted to leave the minute he saw you in your protective clothing. Especially after all the caterwauling that went on in that same bathroom a little while earlier.
Once you are done with this, carry the picture (I am using that term pretty loosely at this point) and lay it on the glass of your flatbed scanner. Actually, I recommend you use someone else's scanner for this. Preferably someone who either loves you unconditionally...or already hates your guts...as it is not guaranteed that the adhesive will be completely cured and the scanner may not be cleanable afterwards. While you have it on the scanner go ahead and take several scans. Feel free to change the resolution, move the black and white points on the histogram and even change from black and white to color for each scan.
Now, fire up your HDR software. I have no recommendations for you. In fact, you may want to try several different software versions to see which does the worst job. Using the software combine at least 5 random scans into an HDR image. Now open Photoshop...or GIMP...or just about any other image editing software since what happens now is pretty low tech...and down rez your image to 4x6 at 360dpi. Or maybe ppi. I can never remember which is which. Now, open your browser and send your file to Wally World and ask for an 11x14 print on Kodak Alaris paper. The Kodak Alaris paper is critical as we need to support Kodak. I know this has to be true as i have read this on several different forums. If this part is difficult for you to understand I completely understand. Just call your 12 year old grand daughter or grandson. They will have no problem. In fact they may have additional ideas at this point. Mine did.
Once you receive your print from Wally World cut it carefully into 4x6 rectangles. Voila...you can now relax with a cup of coffee. You have made a perfect image. It will have grain galore, undeniable contrast, beautiful tonality, and it will have that special quality that you have been missing to this point. Your love of analogue photography will be reinvigorated.
Don't forget to mail one of the 4x6 rectangles to the New York MOMA. Oh...you might want to give one to each of the two cats...if you can find them. Also the neighbor with the scanner. And your Mom.
But don't send any to me, I already have several and am finding it increasingly difficult to get rid of them. I may try E-Bay in Great Britain or Australia.