I think Moving target happily jams JJ+, AK(maybe AQ) then atditod ISO with AK and QQ+ so its difficult to put in AK vs them both cos its either flipping or crushed so I wouldn't mind a fold to wait for a better spot as you got enough chips. If you have reads they are pretty crazy and don't know ranges and can jam worse then I just get it in.
Looking at your position I think best move is to just 3bet ship as your small 3bet from CO will probably be considered as a lot of strength so wouldn't induce that much action from worse hands, instead a ship may get calls from AQ or AJ if you're lucky.