NL20 SH Speed AJo, Check/Raise the Flop?

IPoker, $0.10/$0.20 No Limit Hold'em Cash, 6 Players
Poker Tools Powered By Holdem Manager - The Ultimate Poker Software Suite.

SB: $34.50 (172.5 bb)
Hero (BB): $25.94 (129.7 bb)
UTG: $21.67 (108.4 bb)
MP: $20 (100 bb)
CO: $15.61 (78.1 bb)
BTN: $7.80 (39 bb)

Preflop: Hero is BB with A J
UTG folds, MP raises to $0.60, 3 folds, Hero calls $0.40

Flop: ($1.30) 4 K T (2 players)
Hero checks, MP bets $1, Hero folds

Preflop: I usually just call in this situation.

Flop: Could I attack this flop with a check/raise? I have a gutshot, an overcard and weak BDFD. He cbets alot IP (79%) and wasn't faced with a raise of a cbet.

MP: 29/21/26/79/1,3/550 (VPIP/PFR/MP_RFI/IP_FlopCB/AF/H)