Value bet when you think you will have a split pot? (AJo hand)

[ThunderEagle]

PokerStars 0.10/0.20 Hold'em (10 handed) hand converter

Preflop: Hero is MP2 with A[img]/images/graemlins/spade.gif[/img], J[img]/images/graemlins/diamond.gif[/img].
<font color="#666666">2 folds</font>, UTG+2 calls, <font color="#666666">1 fold</font>, Hero calls, <font color="#666666">1 fold</font>, CO calls, <font color="#666666">1 fold</font>, SB completes, BB checks.

<font color="green">
Yes, I probably should have raised PF, I specifically decided not to, but now I don't remember why.</font>

Flop: (5 SB) Q[img]/images/graemlins/diamond.gif[/img], T[img]/images/graemlins/club.gif[/img], 3[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(5 players)</font>
SB checks, <font color="#CC3333">BB bets</font>, UTG+2 folds, Hero calls, CO calls, SB calls.

<font color="green">
I had the A that I gave 2 outs, gutshot and BDF, so I decided to peel.</font>

Turn: (4.50 BB) K[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(4 players)</font>
SB checks, <font color="#CC3333">BB bets</font>, <font color="#CC3333">Hero raises</font>, <font color="#CC3333">CO 3-bets</font>, SB calls, BB calls, <font color="#CC3333">Hero caps</font>, CO calls, SB calls, BB calls.

<font color="green">
Booyah, perfect river and everyone gets all jumpy now, but I have the nuts.</font>

River: (20.50 BB) J[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(4 players)</font>
SB checks, BB checks, Hero ???

<font color="green">
Ugh, once that J hit I figured I'm splitting this pot with at least one person. The question is, if you think you are looking at a split pot, do you still value bet?</font>

[hero]

raise pf, everything else is fine, given the way you played pf, i'd peel the flop since your A outs might be good for 2 outs and your gutshot 4 outs.

cap that turn biatch and i'd bet/call the river since you dont have the nuts (flush draw). I think its worth a bet and a KJ or set of 3's will often pay it off