Poker Stars, $0.10/$0.25 No Limit Hold'em Cash, 6 Players
Poker Tools Powered By Holdem Manager - The Ultimate Poker Software Suite.

SB: $54.13 (216.5 bb)
BB: $24.34 (97.4 bb)
UTG: $29.31 (117.2 bb)
MP: $25.76 (103 bb)
Hero (CO): $35.25 (141 bb)
BTN: $53.19 (212.8 bb)

Preflop: Hero is CO with Kh Qs
2 folds, Hero raises to $0.50, 2 folds, BB calls $0.25

Flop: ($1.10) Qd 5c 4d (2 players)
BB bets $1.75, Hero calls $1.75

Turn: ($4.60) 9h (2 players)
BB checks, Hero bets $2, BB raises to $22.09 and is all-in, Hero calls $20.09

I found myself in this weird spot against an unknown player (3 hands, VPIP 100, PFR 67)

His calling range is something like 22-88,A10-A2 KJ-K9, QJ-Q9, and a lot of suited one gappers ( suited connectors all 3b)

On the flop he bets into me with an overbet which isn't normal but ok, I make a call here since I've hit toppair with good kicker but I m a bit scared of 45 and several (flush)draws (sets don't do this in my opinion)
Turn he checks and I bet (I think my sizing is a bit on the small side) but than he pushes all in which confuses me even more.

My thoughts at the time were that the 9 couldn't have helped him that much and there was no flush present, so I'm beating all of his hands except 45, 44 and 55 and with these hands I certainly would bet smaller on the flop and turn to keep me in the hand.

So Im beating all of his Qx hands (AQ and QK would have 3b pre and Q4 en Q5 would have folded pre) and all of his flush en straigt draws.
In the end I eclected to call because of his weird line and I am in front against most of his range.

Is this a good line of thougts???