Ok, I know this hand is a little experimental. Villian is a reg and can hand read.
I float the flop(for no good reason i guess), but when the turn hits I'm thinking he rarely has a 9 which he cbets on the flop but I can very well have a 9 here.
I just throw it out here to have some opinions.
FWIW I did the exact same play on another table with the actual trips which another reg folded too.

$0.25/$0.50 No Limit Holdem
6 Players
Hand Conversion Powered by weaktight.com

Stacks:
UTG ($56.95)
UTG+1 ($128.65)
CO ($53)
Hero ($50.50)
SB ($51.50)
BB ($43.10)

Pre-Flop: ($0.75, 6 players) Hero is BTN 7 8
2 folds, CO raises to $1.50, Hero calls $1.50, 1 fold, BB calls $1

Flop: 4 9 A ($4.75, 3 players)
BB checks, CO bets $3, Hero calls $3, BB folds

Turn: 9 ($10.75, 2 players)
CO bets $8, Hero raises to $17.50, CO calls $9.50

River: 5 ($45.75, 2 players)
CO checks, Hero bets $28.50, CO calls $28.50

Final Pot: $102.75
Hero shows
7 8
CO shows
10 9

CO wins $99.75 (net +$49.25)

Hero lost $50.50
BB lost $1.50

It looks good, too bad he had what you are repping.

Only problem I can see is if the villian is any good he isn't barreling on an A high board when the turn pairs the 9 therefore we can expect him to have a hand. If he lays down Ax here its a good play but if he is liable to get stubborn with AQ/J it starts to become much less profitable.

Give up when he calls the raise, he either has a 9 or an A and he hardly folds once he calls tue turn.

Your flop float is good, you can rep a lot of turns.

+1

+1

All looks good to me until the river. Once calls the raise you're screwed so check behind and let it go.