That is going to be tough.....I have been surfing 35-38 foot boats for a while now and you will have to go back a ways to get someting in that price range.
I have not been able to find one that meets all my criteria, most either need updating or have been updated and do not look stock. Few have hydraulic steering so there is 5-10K. A lot of high time or "custom" engines.
Most of the old boats are heavy, great ride but a 38 flat deck cig with 500's is a low 60's boat from what I am told.
The shorter you go the closer to will come to your number, but then you will have some other problems like a smaller head and so on.
I am going to say however a Formula will probably come the closest to what you describe. I am not saying it is the best boat or worst but it seems to me that for that price and list of features it is the closest. Maybe a 311 or a 353?