HI! Firstly sorry for this hand format (weaktight and this forum wont support HM2 format?).

What are your thoughts about this hand?

Some background: SB was fairly unknown (but propably fishy, no full stack + 47/0 stats (10 hands))
BB was aggressive fish (59/44/1,3 (135 hands)) and he was cooking food background (this was camera-table)

For some reason I my stack was not auto-filled after last hand.

$0.05/$0.10 Blinds No Limit Holdem
Seat 1: BU ( 109bb )
Seat 2: SB ( 63bb )
Seat 4: BB ( 232bb )
Seat 6: UTG ( 97bb )
Seat 7: HJ ( 193bb )
Seat 9: HERO ( 98bb )
SB posts small blind [0,5bb]
BB posts big blind [1bb]
* Dealing down cards *
Dealt to HERO [ Tc, Ac ]
UTG calls [1bb]
HJ folds
HERO raises [4bb]
BU folds
SB calls [3,5bb]
BB calls [3bb]
UTG folds
* Dealing flop * [ 9h, 4c, 6c ] (pot 12bb)
SB checks
BB checks
HERO bets [6,5bb]
SB raises [24bb]
BB calls [24bb]
HERO raises [87bb] (all-in)
SB calls [35bb] (all-in)
BB calls [69bb]

SB x-r was sized quite big. So big that it looks like little bluffy right? BB was cooking and came to computer when it was his turn and just clicked call right away and went back to cook.

My shove was kind of semi-bluff/value (dont think that I have much FE). I thought that I will get good enough odds to draw and my aces could even be my outs too. At least if BB will also call the shove. If BB would not have called that X-R it would have been fold for me and if the X-R would have been smaller (like under a PSB) it propably would have been call. Right?

After the hand I did the math and at worst I only have 21% eq (SB has a SET, BB has a FD) so thats not good.
But then I thought it this way that what if BB folds I have 37% eq vs. SB c-range (overvalued overpairs JJ/QQ and flopped sets + deadmoney on pot from BB) and if BB calls with FD or something weird Im at least a favorite to win about 70bb sidepot.

Trying not to be result oriented, but happened to have 41% eq at this hand.

And if you didnt already notice im a quite new to poker and I'd like to hear every kind of advice from sizing and putting villains on ranges (tho fish are quite hard to put on ranges..) etc.
Thanks!