RE: 34" draw length
Wow, 34" really? You must have a wingspan of just about 7' (84"). I can't answer about available bows but you could possibly settle for something about 33" and add a string loop. You find that many bows actually draw longer than they are marked anyway. 33" would give you a few more options.
Another route to take would be to find bows fitting your criteria and if they are too high priced for you then look for a used model that takes drawlength modules to change the draw. That could open up the world to you as far as choices are. And modules normally only cost between $10 and $15.