Hello themagpiespg,
Preflop: Are we talking about preflop odds or turn odds? But lets take first preflop odds. Being in such a multiway pot completing is totally fine. Although if you are gonna overplay your TP type of hand or any kind of draw then I might even prefer folding be safer. Since it's a common mistake for beginners that they overplay their TP or even draws on flushdraw board and don't take into account their implied odds or that they are OOP. But of course for just to add $0,01 is totally fine if you feel secure in your postflop play.
Flop: Totally fine to bet it here with OESD and while we of course have fold equity.
Turn: Being in multiway pot I don't like betting anymore either. Not worth! We can easily just donate money into the pot and as well we are very likely get called. Plus obviously have to discount outs since FD is possible. I'd also rather Check and take a look if we get correct odds. And as you get pretty good odds then going even for 6outs here is totally fine. We need only ~$0,14 on river to make it profitable.
As played
River: I totally like your Check/Shove here.

Wouldn't play any differently.
Best regards.