Disclaimer, this is me asking for advice, in the form of advice.

First off, NH Slevin, nice quads.
Ok, the way my fishy fish ass see's it is this. There's no other 5's out there, so there's no Opponent that isn't afraid of you having a 5 especially on the BB. So I'm probably folding everything but pocket queens and Kx of spades to your(in my opinion) obvious c/c -c/r. And as far as the river, unless villain has Kx of spades he's super worried that you have it (since you waited until the river to open) and will only call with his lesser flush(again what the hell do I know?)
My line might be (if i'm wrong PLEASE correct me, as I DON'T know how to bet this most profitably)
Hope with all my little heart that some donk tried to slow pay Q's preflop. Or hope that someone had a couple of spades they would be willing to call down with.

Check pre
Bet but pretty much give odds on flop (for the spade draw)
" " same on turn, give odds.
Bet pot on river and look for a reraise since they caught it.( would this be right guys?)

EDIT: This line (as intended) might work for someone with a Q but obviously don't look for a raise on the river