Check out this link
www.mattrandolph.com/cobra/Cobras.htm. I think you'll find it very helpful.
Most manufacturers can "arrange" a turn-key car. What that means is they supply the roller and can recommend engine builders, body shops, and some will even install the engine for you after you've purchased it elsewhere. Unique (
www.uniquemotorcars.com) in my personal experience builds a very nice close to turn-key car close to your price range (depending on the engine you choose). ERA is also very nice, as is SPF, although somewhat beyond the price you quoted. I'm sure there are many others....I just don't have experience with them.
The used car option also has some major advantages and there are a lot of good ones available. One big advantage is that many of them come with 65-66 titles recognized in most other states. Again, depending on the engine, you may have to spend $5-10K more for a really good one.
But, no matter who manufactured the car, the quality of any replica is entirely dependent upon WHO BUILT IT! There are some very nice examples of just about every replica out there and there are also real dog examples of just about all of them.
Happy Hunting!