I'm not up on CNC lathes much. I want one like a dog but don't have the work for one right now.
For your type of work maybe the Haas TL1 might be of interest. You con get one for a little over 20K new.
As for used I have been keeping an eye on this machine for a while.
http://www.actionmachinery.com/writeups/15345.htm
This may be just what you are looking for. It is about twice as much as your are looking to spend but is about what is realistic.
Good luck