Ok well, I'd try a few things before you keep investing into accounts and getting futher bans, cause that sucks...
Try searching for different proxies, maybe even consider resetting your home IP and using that?
Maybe step away from splash-alching as such, and do one or the other? Alching is still decent XP on it's own.
Maybe you're having an unlucky streak, I'd really look into those proxies though.. If they're cheap they're probably crap