2/5 NL, Harrahs N.O. - flopped nuts, errors???

[jetsg4]

2/5 NL Harrahs - New Orleans

i'm on my 18 hour at the table, and just over 30 hours awake, so i wasn't exactly thinking things through as well as possible.

Player A - BB, $2200
Player B - UTG, $1300
Player C - UTG+1, $1500
ME - Button, $1800

5 players limp
i call on button with 5c,7s
sb calls
bb raises to 15
Player B&C call, and i call

POT: approx $75

FLOP: 4c 6c 8s

Player A bets out $100
Player B calls $100
Player C calls $100
I (for some reason i still can't figure out) pushed for $1785

Pot now is $2160

Player A thinks forever and folds, 2 BLACK KINGS
Player B takes about 5 minutes and finally calls with 6h 6d
Player C takes another 5 minutes and call with Ac 3c

The turn bring Kd (which would have given player A top set)

The river is the Qc giving player C one of his 7 outs for the win.

Player C was the biggest ATM i've ever seen, this game stayed going through the night and well into the next day solely because of him. he lost about 10k in this 2/5 game.(making $600 calls on river with 44 on a AJ1076 board) so i'm not sure he would have folded the turn if i just called the flop and then player A & B got into it with their set vs sets. but i probably would have given myself a better chance to win the pot.

what's your opinion?