I don't know what your budget is but a handmade custom from a good builder would probably leave a smile on your face.
A used vintage steel frame in good condition might also work well for a lower price. There is a website, the Frame Geometry Project, I think, that lists the numbers on a large number of frames through the years. Might be a good place to look.
It sounds like you want some fairly specific numbers to look for though. Tom Kellogg has written that a trail of about 56mm gives you a "neutral" steering feel. Lower trail will feel "quicker", more trail "slower. I trust his judgement. He doesn't say but I bet the headtube angle that the number is based on is close to 73.
I like chainstays that are about 420mm on my bikes. I ride a square 56 frame. 420 seems to give me a nice ride and my own theory is that short or long chainstays don't have a very large influence on how quick or slow a bike feels until you go to extremes. I think most of what we like or dislike about steering quickness comes from the front end geo, not as much from the back end. Just my guess. No data to back it up.