Pot Repot

I'm trying to add some hands in my 3betting range. Is this hand good enough to 3bet from bb vs button open?

How should I proceed on this flop with 2.5 SPR? I thought top pair + nut gutter + BDFD is good enough to get it in here.

PL Omaha
SB (120.8 BB) [VPIP: 29.2% | PFR: 18.2% | AGG: 35.1% | 3-Bet: 6.4% | Hands: 480]
HERO (66.5 BB) [VPIP: 28.7% | PFR: 14% | AGG: 29.8% | 3-Bet: 5.8% | Hands: 1678]*
HJ (83.8 BB) [VPIP: 43.3% | PFR: 20.5% | AGG: 24.5% | 3-Bet: 6.8% | Hands: 2455]
CO (355.1 BB) [VPIP: 70.2% | PFR: 25.6% | AGG: 21.1% | 3-Bet: 10.1% | Hands: 242]
BTN (158.5 BB) [VPIP: 29.5% | PFR: 22.1% | AGG: 28.7% | 3-Bet: 9.4% | Hands: 2408]

Dealt to Hero: 2c Jh Th Kc

HJ Folds, CO Folds, BTN Raises To 3.5 BB, SB Folds, HERO Raises To 11 BB, BTN Calls 7.5 BB

Hero SPR on Flop: [2.46 effective]
Flop (22.5 BB): 6c 9s Ts
HERO Bets 22.5 BB (Rem. Stack: 33 BB), BTN Raises To 90 BB (Rem. Stack: 57.5 BB), HERO Calls 33 BB (allin)

Turn (168 BB): 6c 9s Ts 8c

River (168 BB): 6c 9s Ts 8c 6h

BTN shows: 8d 3h 7h 4d

BTN wins: 129.3 BB

6-max Seat #6 is the button
Seat 1: Seat 1 ($100 in chips)
Seat 2: Seat 2 ($100 in chips)
Seat 3: Seat 3 ($100 in chips)
Seat 4: Seat 4 ($100 in chips)
Seat 5: Hero ($400 in chips)
Seat 6: Seat 6 ($500 in chips)
Seat 1: posts small blind $0.5
Seat 2: posts big blind $1
* HOLE CARDS
Dealt to Hero [Kh Kc Qd 9h]
Seat 3: folds
Seat 4: folds
Hero: raises $2 to $3
Seat 6: raises $8 to $11
Seat 1: folds
Seat 2: folds
Hero: calls $8
FLOP [As Js Td]
Hero: bets $23
Seat: 6 calls $23
TURN [As Js Td] [4d]
Hero: bets $69
Seat 6: calls $69
RIVER * [As Js Td] [4d] [7d]
Hero: checks
Seat 6: bets $200
Hero?

Tried converting a live hand from one of the sites, not sure how it works.

Villain is a solid regular in my casino and plays Laggy.

Should I have check called flop, check potted on turn?

As played, can I call on river with Q flush blocker?

Not sure how to play with 77/88 with 20b stack vs an early position raise.

We can't flat call as we don't have enough implied odds to set mine with only 20bb stack. There will most probably be couple of overcards on the flop and we would keep guessing once villain cbets.

I think 3bet shoving is a bit spewy vs a tight early position raising range. We are never getting called by worse.

Should we fold?

Have been trying $1 4-max shootout satellites for the upcoming $5M Sunday million unsuccessfully so far. That's when I heard about holdem resources push fold calculator. However, I have one doubt about the strategy this calculator suggests.

Input: 4 players, starting stacks 500, blind 25/50/10, prize structure 100% to the winner.
Strategy: CO - Push 32.1%, BU - Push 39.7%, SB - Push 71.9%

Then I noticed there is a default prize structure given in the calculator (50%, 30%, 20%). So out of curiosity I decided to use that as well.

Input: 4 players, starting stacks 500, blind 25/50/10, prize structure 50%, 30%, 20%
Strategy: CO - Push 42.1%, BU - Push 53.5%, SB - Push 100%

The calculator suggests a wider pushing range if the prize is distributed between top 3 players, as compared to a winner take all structure. This somehow feels counterintuitive to me. Shouldn't we be willing to gamble a bit more in a winner take all structure, to accumulate more chips before the blinds go up (and hence push a wider range)? In the 2nd scenario, shouldn't we be willing to let go some tiny edges in order to move up the pay scale and let others go bust before us (and hence push a bit tighter range)?

I'm very new to online MTTs and therefore have been asking very basic questions here. So far people have been very helpful and polite here. I've always played cash home games with friends so far (simple ABC poker still works there). If you guys think there is a better place than here for these questions, please guide me in the right direction.

Thanks

Lot of MTT books/videos suggest to remove 22-44 from your early position opening range.

I would like to understand how are 22-44 any different from 55, 66:

1) Mostly you're going to flop two or three over cards with both 22-44 and 55, 66. You'll take a stab on flop and give up on turn.

2) Your chances of hitting a set are same with both. And you're hardly ever continuing on turn without a set.

3) If you get 3bet pre flop, your counter - strategy is same with both. You either call to hit a set if you're getting the right implied odds, or you fold. If you think villain is 3betting you light, you can 4bet shove with both (he's not going to call with A5 or A6).

I can understand why removing hands like AT and KJ from early position opening range is good - you can value own yourself to a better A or K if you hit top pair. But with small pairs, you know when you're good and when you're not.