5/5 Call or raise my draw in this 3b pot?

We're playing four handed, because the majority of the table went for a break at the same time.

SB (800): Just sat down. Friendly guy that likes action. He wants to see a lot of flops and be aggressive. Has zero equity bluffs in his repertoire, but will not go crazy when others have shown interest. In this hand, I mostly consider his call to be dead money on the flop. He seems to have lost interest after the cbet.

BB (covers, ~1100 effectively): annoying older guy, pretty tight but can be very aggressive. Undoubtedly unknown to SB, but I have seen him be aggressive (like calling a raise pre-flop with KQ and then suddenly raise the turn or river on a K high flop, where most people would just call down). I've also seen him do some weird spewing occasionally. Not often enough to really wanna factor it in here though.

OTH

UTG/CO folds and I open on the BTN to 20 with KdQd

SB calls, BB squeezes to 80, I call and SB calls as well

Flop (3way, 240) Td 6d 3s

SB checks, BB bets 160

Hero on the button to act next with 980 left…

At this point I mostly put him on (99/)JJ+, maybe TT, probably some AK/AQ (not sure if it's all of it), but I don't think he'll be much wider than this. I could be wrong, he could have more suited broadway hands, maybe because we're four handed… At the moment I didn't think so, but who knows. I do think he's the kind of old school player who always just cbets big in 3bet pots, certainly when he has it, but it's not unlikely that this is just his standard sizing which he uses with missed overcards as well.

So, one of my leaks is that I'm not aggressive enough, even more so in 3bet pots. I would mostly default to calling the flop here in position, when we're deeper than say 100-150 blinds. However, I recently played a couple of very similar hands where I called a smallish cbet on the flop (this is not a smallish cbet obv) and had to fold to a potsized shove (or overbet) on a blank turn, and I was getting sick of that scenario. Admittedly, those villains were more aggressive, with more bluff shoves in their range than this guy, so in hindsight I just shouldn’t have let that happen. In this case though, I just don’t know…

Are we going for it here? Obviously we're not raise/folding, but I was unsure about our sizing if we do decide to raise. Or is calling (and just folding the turn unimproved) actually a perfectly reasonable option? Are we doing something else with a hand like A4dd?

Oh, the fact that I don't like this guy and wanted to distress him may well have played a role here. It might have obscured my thinking at the time and/or now…