50NL, JJ in monotone flop vs a fish

[pokerfan]

fish is 41/23/0.9 with 41% ATS%. He called lots of 3 bet with weak range and didnt fold much in general. Should i just shove on the turn or bet something like half pot?
No-Limit Hold'em, $0.50 BB (9 handed) - Hold'em Manager Converter Tool from FlopTurnRiver.com

BB ($51)
UTG ($56.60)
UTG+1 ($79.80)
MP1 ($50)
MP2 ($77.60)
MP3 ($90.10)
CO ($52.55)
Button ($115.80)
Hero (SB) ($50)

Preflop: Hero is SB with J, J
1 fold, UTG+1 bets $1.50, 2 folds, MP3 calls $1.50, 2 folds, Hero raises $6.25, 2 folds, MP3 calls $5

Flop: ($15) 10, K, 6 (2 players)
Hero bets $8, MP3 calls $8

Turn: ($31) 7 (2 players)
Hero ?

[BankItDrew]

If you shove - it is pretty much a psb. So shove.

[Renton]

I think i'd probably bet more on the flop and call it off. As played on the turn I'd rather c/f or c/c than shove.