Ive been thinking about, and working on something similar to enlarge 7x17 on my Durst L1840. Thats about the same diagonal as 11x14, but I can not fit the 11x14 to my enlarger due to the Durst focusing standards being too close to the lens axis. For 11x14, an enlarger like the DeVere which attaches the focus mechanism to the column would work better.
Ive made a prototype in which I space the 7x17 negative from the existing Durst negative stage with a 22 long x 12 deep by 12 high box made from ½-inch Baltic birch plywood. My neg carrier is a simple 2-piece glass sandwich, resting on rails attached to this box and aligned to the lens. Its not very satisfactory, as I must remove the light source to change the negative.
Ive conducted some basic tests using a single row of 24-inch fluorescent tubes, packed as tightly as possible in another plywood box, with an acrylic diffuser about an inch above the neg. This worked, but I need better diffusionIm guessing another, secondary diffuser an inch or so above the first. This will require raising the lamps which will further diminish the intensity, so I plan to line the light box with reflectors or aluminum foil, and add another row of lamps to increase the light output. Ive also been considering the higher-intensity 3w white LEDs available for under-cabinet kitchen lighting, although they will produce more heat.
Im using a 360mm El Nikkor lens, but this requires high ceilings for a vertical enlargerI have 12-foot ceilings. With the head fully up, I can enlarge about 2.5x with the baseboard in the normal position, and I calculate about 3.5x with the baseboard fully down. Another, probably better, option is a 260-270mm wide-field process lens, which would require less headroom.
When (or if) I get everything worked out, Ill replace the plywood with aluminum, and build a better negative carrier that I can remove independent of the light source.
So far, Ive found contact printing much easier for the 7x17 negs. But as you have found, it would be nice to enlarge certain negatives. The easiest, and probably the best solution, would be to find an 11x14 working enlarger. But the only working ones Ive seen (Jens Jensen in Hillsboro, OR) are still very expensive.