According to the cpu list found here it can take up to a FX8370 but I wouldn't put any of the FX8000 and probably not even any of the FX6000 series cpu's in that board. It really is quite a poor board and only has 4+1 power phases and no vrm cooling at all. There looks to be no easy way to add vrm cooling either as they are in between caps and chokes.
None. Why are you looking at ancient cpu's and chipsets when Ryzen and the new socket is here? It's madness buying into a platform as old as AM3+. Your 3770k is better than anything on that socket. If the cheapest Ryzen is too much either wait for the rest to release or buy a 7600K with a Z270 board.
1.. because i'm a father of 7 and don't have a spare £450+ just for a cpu and mobo atm.. 2.. because it's not for me it's for the missus and the main thing she want's it for is to play sims 4... i'm happy with my build atm.. the only reason i was looking for a cpu for that board is because it has been sat collecting dust for some time and thought i'd try and do summet with it...
end of the day i was just after some input from other people before deciding what to do next...