I'm glad that Luke posts his thoughts so I don't have to type mine.
Mostly my fault for getting coaching from you.
1) I did cbet 45, and got called in all 5 spots!
That's nuts. I'm playing it the same, calling turn and evaluating river.
2)Blind checked, I checked, MP bet, LP raised.
Stoving this hand against 3 players with pairs, broadways, and suiteds we have 3% equity.
I'm not saying you stoved this wrong, but that seems crazy low. Can you show the ranges you gave? I think (not sure) this may be a good case for betting to thin the field and pick up fold equity when multiway. Get two people to fold and have the third person with that same wide {pairs, draws, gutshots, FD, etc.} range and you're doing so much better. I could be totally wrong here, though.
3) I checked it back (not because I was afraid of the board texture), but because the table had seen me 3bet AK not too long ago. The shortstack shoved an offsuit 5 turn, I called getting 2:1 and he had a queen. When I checked it back I think that he thought I had AK. Here not cbetting got me paid off.
Totally fine, you induced a mistake from a shortstacker using your image. That said, we didn't have any of that info originally
. I think, without any info/reads/table image, that cbetting in this spot is still the most +EV move.