Low gutshot on 4th in a $10/$20 game

[MarkGritter]

7 Card Stud High-Low ($10/$20), Ante $1, Bring-In $3 (converter)

3rd Street - (0.60 SB)

Seat 2: xx xx K[img]/images/graemlins/diamond.gif[/img]___raises
Seat 3: xx xx 4[img]/images/graemlins/club.gif[/img]___folds
Seat 4: xx xx 3[img]/images/graemlins/club.gif[/img]___brings-in___calls
Seat 6: xx xx J[img]/images/graemlins/club.gif[/img]___folds
Hero: 3[img]/images/graemlins/diamond.gif[/img] 4[img]/images/graemlins/spade.gif[/img] 6[img]/images/graemlins/heart.gif[/img]___calls___calls
Seat 8: xx xx 8[img]/images/graemlins/spade.gif[/img]___folds

4th Street - (3.60 SB)

Seat 2: xx xx K[img]/images/graemlins/diamond.gif[/img] Q[img]/images/graemlins/club.gif[/img]___checks___calls
Seat 4: xx xx 3[img]/images/graemlins/club.gif[/img] 7[img]/images/graemlins/club.gif[/img]___checks___raises
Hero: 3[img]/images/graemlins/diamond.gif[/img] 4[img]/images/graemlins/spade.gif[/img] 6[img]/images/graemlins/heart.gif[/img] 7[img]/images/graemlins/diamond.gif[/img]___bets___???

Is Hero better off jamming to try to knock out the probable pair of Kings, or calling and hoping he comes along?

Hero raised and the K folded.

Remainder of hand:

5th Street - (5.30 BB)

Seat 4: xx xx 3[img]/images/graemlins/club.gif[/img] 7[img]/images/graemlins/club.gif[/img] A[img]/images/graemlins/heart.gif[/img]___bets
Hero: 3[img]/images/graemlins/diamond.gif[/img] 4[img]/images/graemlins/spade.gif[/img] 6[img]/images/graemlins/heart.gif[/img] 7[img]/images/graemlins/diamond.gif[/img] 9[img]/images/graemlins/club.gif[/img]___calls

6th Street - (7.30 BB)

Seat 4: xx xx 3[img]/images/graemlins/club.gif[/img] 7[img]/images/graemlins/club.gif[/img] A[img]/images/graemlins/heart.gif[/img] 5[img]/images/graemlins/heart.gif[/img]___bets
Hero: 3[img]/images/graemlins/diamond.gif[/img] 4[img]/images/graemlins/spade.gif[/img] 6[img]/images/graemlins/heart.gif[/img] 7[img]/images/graemlins/diamond.gif[/img] 9[img]/images/graemlins/club.gif[/img] 2[img]/images/graemlins/heart.gif[/img]___calls

River - (9.30 BB)

Seat 4: xx xx 3[img]/images/graemlins/club.gif[/img] 7[img]/images/graemlins/club.gif[/img] A[img]/images/graemlins/heart.gif[/img] 5[img]/images/graemlins/heart.gif[/img] xx___bets
Hero: 3[img]/images/graemlins/diamond.gif[/img] 4[img]/images/graemlins/spade.gif[/img] 6[img]/images/graemlins/heart.gif[/img] 7[img]/images/graemlins/diamond.gif[/img] 9[img]/images/graemlins/club.gif[/img] 2[img]/images/graemlins/heart.gif[/img] 9[img]/images/graemlins/heart.gif[/img]___calls

Total pot: (11.30 BB)

Should Hero find a fold on 5th or 6th?