If you're looking to toss sub 3 oz baits (once again swimbaits: I have zero knowledge about alabama rigs) I'd say 15-20 lb test mono or copoly should be sufficient.
I have been throwing small swimbaits (Matt's gill, hardgill, tournament series, 6" hudds, weedless hudds, 68 hudds, 7" and 9" slammers, 7" and 8" triple trouts, 6" BBZs, 316 softbaits, 316 wake jr, smaller punkers etc) on my medium heavy swimbait rod/ Curado 301E with 14 lb Trilene XT, 15 lb Yo-Zuri, and 20 lb PLine fluoroclear at different points in time. I also tried 80 lb Samurai braid + leader once, and that worked out well too.