Caro Kann advance, what to do with DSB?

I end up in many variations of the Caro Kann advance, with similar structures/piece positions as this one:
1. e4 c6 2. d4 d5 3. e5 Bf5 4. Bd3 Bxd3
5. Qxd3 e6 6. Nf3 c5 7. c3 Nc6 8. O-O Qb6
9. Nbd2 cxd4 10. cxd4 Nge7 11. a3 Nf5 12. b4

r3kb1r/pp3ppp/1qn1p3/3pPn2/1P1P4/P2Q1N2/3N1PPP/R1B2RK1 b kq - 0 12

And I often don't know what to do with my DSB. any human suggestions?

EDIT: I don't know how to post the chess board into forums. Sorry.

This is not an ambitious way to play as white and the way Grandmasters tend to punish this is by playing 6... Qa5+ 7.c3 Qa6 where white should go for an endgame with a slight disadvantage you can study that endgame and clearly see that black is to be prefered.

You need to go into your study. Put moves and then copy and past the link in your answer.

Or go into one game were your opponent play it then go into "analysis" then "menu" then "study". Moves will be automatically set up in

It's not a gale for bishops yet, the position is too close. Notice that the white's LSB hasn't move yet.

So what kind of plan you should have in this kind of games?
en.wikipedia.org/wiki/Pawn_structure#e5_chain

The example you give, black has already an advantage.

The usual solution in theory for Black here is the line that @LordCanoso cited. You'll get a favorable French-style position where White either doesn't castle for a while or the queens are off. In either case, White doesn't get to have the typical kingside attack of the French Advance lines, so Black is better after 7...Qa6.

I am not a fan of the advance variation.
4 Bd3 is questionable as well: you trade your good bishop for his bad bishop.
6 Nf3 seems passive: why not 6 f4 preparing a later f5?
11 a3 and 12 b4 seem wrong too.

Generally there are many uses for the bad bishop: Bg5 or Bd2-e1-h4 or Be3-f2-h4.