2-7 TD: Multiway pot, drawing 2:1:1, do you bet unimproved?

[Jigsaws]

5/10 2-7 on Stars. Notes say that BB is overaggro and overvalues hands, SB is unknown.

Hand 1

I raise UTG, SB and BB call.

SB draws 2, BB draws 1, I draw 1 to 8643. I brick.

Check, check, I bet. If you don't bet here, do you bet 7432?

I bet this time and got check-raised by BB, who was pat. I missed both draws and folded to his river bet.

Hand 2

A couple of orbits later I raise UTG, Button and BB call. BB is the same as in the previous hand.

BB draws 1, I draw 1 to 8543 and brick, Button draws 2. BB checks, I bet again. Good/bad?