Led into by limp call fish....

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Seat 1: Villain 1 ($12.30) -
Seat 2: Villain 2 ($19.50) -
Seat 3: Villain 3 ($52.30) - 25/8/2.3
Seat 4: Villain 4 ($53.30)
Seat 5: Villain 5 ($28.80)
Seat 6: Villain 6 ($75.15)26/2/1.9
Seat 7: Villain 7 ($10.50)
Seat 8: Hero ($50)
Seat 9: Villain 8 ($56.80)


PRE-FLOP:

Villain 2 posts small blind $0.25
Villain 3 posts BIG blind $0.50
Dealt To: Hero


FOLD Villain 4
FOLD Villain 5
CALL Villain 6 ($0.50)
FOLD Villain 7
RAISE Hero ($2.25)
FOLD Villain 8
FOLD Villain 1
FOLD Villain 2
CALL Villain 3 ($1.75)
CALL Villain 6 ($1.75)


FLOP:

Pot: $7


CHECK Villain 3
BET Villain 6 ($3)
RAISE Hero ($9)

Question: I am unsure about the best line vs. villains range. Basically, I am not sure really why I am raising here vs. flat call vs. folding so I need some guidance.

I assume his limp call range looks something like this:
88-22,A2s+,KTs+,QTs+,JTs,T9s,A2o+,KJo+,QJo,JTo

I was thinking the flop raise allows me more freedom on later streets. If he flat calls here most likely he will check most turns. I can pot control the turn and value bet river based on how the board rolls out. Or I can opt to barrel the turn and hope to extract value from weaker holdings.

The question seems basic but I find myself raising and betting without the fundamental reasons of why I am doing so. What do I want to accomplish vs. his perceived range with my hand in this spot? Do I want to over rep my hand and remove his mediocre holdings?