[SH] NL50 JJ turn chR vs float

$50.00 No Limit Hold'em - 6 players -

Hero (CO): $68.22
BTN: $40.20
SB: $49.50
BB: $50.00
UTG: $62.59
MP: $52.76

Pre Flop: ($0.75) Hero is CO with J J
1 fold, MP raises to $1.75, Hero calls $1.75, 3 folds

Flop: ($4.25) 4 7 8 (2 players)
MP bets $3.18, Hero calls $3.18

Turn: ($10.61) 8 (2 players)
MP checks, Hero bets $7.00, MP raises to $20,

MP (2,6k hands)
VPIP/PFR/MPraise1st/foldto3bet/4bet 20/14/12/53/7
Cbetflop/turn 63/54
AFflop/turn/river 3,6/1,9/1,5
AFqflop/turn/river 35/25/19
chRturn 0(0/25)
WtSD/W$SD 26/54

Is it better to checkbehind turn? Is balancing an issue here? Cause if i dont float here with my made hands, than my floats will only contain air/draws in such spots.
As played, to his chR, easy fold?