Blitzcrank's Lane Phase shouldn't be an issue.
Hide inside your minion wave and he can't use Q. If he wants to use E, kite him down.
At best, Blitz can Flash E then Q.
I don't deny that Blitzcrank is strong, but the best Blitz's will only use their Q if you screw up. After Blitz misses his Q, the rest of his kit becomes useless because it relies on him actually being in melee range of you.
If a Blitz catches you out at any point past lane phase, it's fair game. If you get caught out, you get caught out. It doesn't matter if it's a Blitz Q, or chain Ice Blasts from Nunu. Caught is caught and any champion in the game has that same potential in one form or another.