Calling off bottom end of straight

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Calling off bottom end of straight

Blinds: t80/t160 (8 Players) MP: 3,696 (Hero)
UTG+1: 9,194
MP+1: 882
CO: 2,970
BN: 3,000
SB: 2,947
BB: 3,195
UTG: 2,329
BB is 35/23/7.5. Reasonably aggro.
Preflop (240) Hero is MP with 3 3
UTG folds, Hero raises to 424, 4 folds, SB calls 344, BB calls 264
Multiway pot, so I give BB a wider range than I normally would considering the increased pot odds to call.
Flop (1,432) 6 7 5
SB checks, BB checks, Hero checks
Checks round so I have removed the top of BB's range as they are fairly aggro.
Turn (1,432) 6 7 5 4
SB checks, BB bets 480, Hero calls 480, SB folds
I pick up a straight, so I cannot fold considering there is now also a flush draw.
River (2,392) 6 7 5 4 K
BB bets 2,271 and is all in

Am I able to call here or is it too optimistic? I feel that my opponent can have some 3s in their range for a chop (A3,33,43), and they could even turn many of their flush draws into bluffs.

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