I've been through quite a few summers down here with no a/c. however, these were not spent in a jeep. but it is possible to tough it out, just don't ever carry any lady friends with you, they for some reason don't like old school a/c.
As for the solft top thing, if you don't have a/c the least you can do is purchase a soft top, there are plenty down here on craigslist for around $300. If you would be more interested in keeping your hardtop for winter i would suggest possibly a rampage bowless soft top. that way you don't have to worry about the frame.