You need to define "cheap" better. Seeing that you can easily drop $800 - $1,000 on big name bows, there are lots of gems under that (and used will let you go lower).
Longbows in the 66"-68" will do the trick, and recurves in the middle 60's should work too.
Seeing that the internet is available, contact bowyers as to their thoughts of how their bows will perform.
My draw is 32+, and it took some time to find a match.
A word of caution, at his draw, most available bows will carry quite a heavy poundage as they are "for the masses" (27"-29").
Good luck!
BobW