Bottom set on flop, one low board

[Damocles]

Pot limit, 0.10 blind. Sorry for the format - is there an O8 converter that works with Absolute?

PF raiser was tight and seemed like he knew what he was doing, unlike nearly everybody else at the table. BB at least has some idea about PF hand selection, tends to size bets according to strength of hand. Hero plays a lot more limit; this is an early foray into PL.

Hero UTG (Ad 4d 4h 7s) calls 0.10
2 calls, 1 fold
CO raises pot to 0.65
BTN, SB fold
BB calls, Hero calls, 1 call, 1 fold.

4 handed flop, 2.75 pot
Flop (Jd 4c Qs)
BB leads out 0.30
Hero...?

Is a raise here spew? How often, realistically, do I run into a larger set? Can I discount the Broadway str/wrap draws b/c the PFR plus multiple callers (plus the one I hold) likely means a number of aces are dead?

Thanks for the input.