honestly, there arent too many free hosts that are consistently good in everything you're talking about .. they'll either have ads, slow servers, little space, or almost always lately, no remote linking.

a decent pay host for the stuff you want can be pretty cheap, and lets face it, if you could afford flash and whatever other programs most people here have, $30 or $40 isn't going be too bad to pay (thats like .. 8 hours at a minimum wage job)