If you decide you want to try a Rapid Rectilinear, look for an old Kodak Autographic 3a folder. The cameras are almost valueless (unless you want to take the time to modify one for use as a panoramic 120 shooter...there is definately fun to be had in that modification), but sometimes they come with nice RR lenses. Note that many of these cameras came with a simple meniscus lens that mounted behind the shutter...no glass in front means it's a meniscus.
If you're buying through eBay it's worth finding someone who doesn't want to rip you off for shipping...shipping is often more expensive than the closing bids on these cameras. Also note that at least some of these cameras came with a Tessar lens...probably not what you're looking for and in my experience the Tessar versions sell for more than the RR versions.
Since the 3a cameras shot 3 1/4" x 5 1/2" and had some rise/fall movement on the front standard, the lenses cover 4x5 just fine. (I should say, they cover 4x5 just fine in my experience...I bought three of these cameras and each came with a different RR lens that covered fine.) The RR lenses that I got on my cameras are slightly long for 4x5 (160-175mm range).
The lenses are in shutters that generally only shoot at one speed (even though they're marked with different speeds...time has taken its toll on the shutters so all of the speeds fire at the same speed), but the B and T settings on my shutters have worked properly and the single speed that the shutters have settled on are very consistant. I don't think it would be worth paying to have someone repair one of these shutters, but some day I might disassemble one to see if there's anything I can do to restore it to working condition.
I've not paid more that USD$20 including shipping for any of these cameras, and in all three cases the lenses were in excellent condition. They definately don't give the other-worldly effect of a Petzval, but they have a nice sharpness fall-off to them that can be very effective with the right subject. Besides, for $20, it's hard to go wrong!
My next foray will be to pick up one of the 3a cameras with a meniscus lens. I can't imagine what a simple meniscus lens will provide on the negative, but it should be fun to find out.
Be well.
Dave