Once you get a hang of your character, you'll learn about all kinds of things to do if they keep blocking. One thing I love doing as Fuerte after my blockstring (Fuerte with a blockstring????? WTF? =p) is to do a
focus attack (level 1 or level 2) and then restart the block string.
It works well because (to piggy-back off of Krackatoa's advice):
After a blockstring.....
They're still blocking
--------
Focus attack
--------------*It Hits* (if they press a button)
-------------------PUNISH
--------------*They block it*
-------------------do another block string
Focus attacks keep people guessing. Don't get out of the way and you set yourself up to deal with another block string. Block too long (level 3 focus attack) and now you're about to eat a lot of damage.
But recognize your opponents habits. If they're mashing during block strings, throw out a couple of hits then stop and wait for your opponent to do whatever move he was mashing, then punish it.
You'll see a lot of players throw out 2 or 3 hits during a block string and then stop....just to see if their opponent is mashing out a reversal. It kinda lets you know ahead of time when kind of player you are facing
Yeah....those characters keep you on your toes because you have to react pretty quickly with them. Most characters have good back dashes so one very good strategy is to block the first couple of moves then back dash as SOON as there is a pause in the block string. Block strings push you back so as soon as you get that small window of opportunity, use it. Your opponent definitely knows that you're being pushed back with each move that gets blocked so understand that they will attempt to close that gap as soon as possible. But know WHEN to back dash; know when there is a very low probability of having your back dash punished. This means that you should have a decent understanding of your opponent's moves as well.
I also see a lot of players focus attack dash out of some moves. You absorb the first hit (if they throw one) and get to back away. I don't use it a lot because it's pretty useless with Fuerte. Most character's get away moves are EX moves. If you don't have meter, then you have to just block.
OOOORRRRR....take the offensive the first chance you get.
Oh, you use Makoto? Yeah, her dash is probably the best in the game. Get that one gap and dash the eff out of there.
And yeah...Makoto has to dash....a lot
EDIT: Too lazy too proofread my post :-/
EDIT2: Regarding Makoto and blocking against characters like Cody, this Makoto demonstrates exactly what I was talking about: she blocked Cody's cross-up, his c.LP and then IMMEDIATELY back dashed out of harm's way:
www.youtube.com/watch?v=ml6TIYBsa-M#t=5m06s