Length is one factor in stacking, but so is bow design. Some bowyers are able to create shorter, handier bows with little to no stack. Try as many as you can before you write off the 60" bows. Check with bowyers for suggestions as well. I can't really give you suggestions for a specific bow because I only draw 28" anyway, but I am sure there are some out there. My Kota doesn't stack, at least to my son's 29" draw.
Try used if you are on a budget. The only new bow I have is my Kanati (if you were thinking longbow, I'd recommend it highly, though it is going to bust your $300 budget). The others in my signature and that I have owned were all used. You can usually buy used and get your money back if you decide the bow isn't right for you.
Good luck in your search.