when to fold unimproved, non-drawing AK, AQ, AJ

[giddyup]

I've been wondering about a common situation I find at 5/10 6 max at Party. When I raise with AK, AQ, AJ in any position and get called by unknowns, and then miss an uncoordinated flop. I almost always either bet out, or bet when checked to. I am interested in how often i should call down against unknowns when raised on the turn with an uncoordinated board. I'm talking about hands where pot odds do not justify calling down, but folding the best hand is a good possibility as well. Is there a consensus that these hands should be folded against a turn raise or that the possibility of having the best hand justifies calling down? I realize that without a read it is difficult, but in general what do people think is the most profitable play?