Finding a plan in the Archangels Spanish when white plays Be3 to exchange the dark-squared bishop Black to play and find a plan:

 [FEN ""]
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 [StartPly "25"]

 1. e4 e5 2. Nf3 Nc6 3. Bb5 a6 4. Ba4 Nf6 5. O-O b5 6. Bb3 Bc5 7. c3 d6 8. h3 O-O 9. Qe2 Bb7 10. d3 Ne7 11. Be3 Bxe3 12. fxe3 Ng6 13. Nbd2


I often find myself in positions like this in blitz games and I think it's only a matter of time until it happens in a long OTB game. I know that I'm playing this wrong, but I couldn't figure out how to approach this position in general. Playing an early d5 is bad because it weakens c5 too much and gives white an excellent square for his knight on e4.

I tried using Stockfish to find a plan here, but it doesn't seem like the engine has a clue about what's going on. Sometimes it just moves about aimlessly and you cannot make out a plan. One move Stockfish suggests is 13. ... a5, followed by 14.a4 c6 and 15. ... Qb6, with the idea of getting play via the b-file. That all looks nice and good, but if white doesn't take on b5 and opens the b-file, black is just sitting there and doing nothing. So, I'm not really convinced yet. My question is thus two-fold: 


What's black's best plan in this position? 
Should I maybe avoid taking on e3 on move 11 to keep some more dynamic possibilities?
In the final position, the black pieces are pointed toward the king side, so logic says that you should attack there.  The two obstacles are the bishop pinning the f-pawn and the control provided by the doubled e-pawns.  Stockfish pushes the a-pawn to chase away the bishop and uses the queen to apply pressure on e3.

  Pressuring and exploiting white's dark-square weaknesses 

I prefer the immediate d5.  This neutralizes the bishop and forces white to decide between exposing a weak pawn on d3, accepting the isolated and doubled e-pawns, or liquidating the center with d4.  It's possible to delay the d5 break with the restraining move c5.

  Quick d5 break: challenging white's light-square control &amp; backward pawns. 

On move 11.Be3, exchanging bishop seems to be the only move for black.  Allowing white to exchange ruins you pawn structure.  The weaknesses on e5 and c5 are greater than the exposed d3 pawn weakness.

  Trade of bishops on c5 leaves black with 2 weakened pawns.