Thanks everyone for all your feedback in this thread. :) From everything I can tell I should be good to go on sport pilot (with all the sport pilot limitations of flying an LSA in daytime VFR only, under 10k MSL), as long as I self-assess my medical state and listen to my doctor.
(And as long as I don't try to go for the class 3 medical and get denied! Safest to stick to sport pilot and not try to go above that.)