- Isn't that what Leona does? Thresh? Braum? Alistar?
Who ever said dodging was the only option? And no, my logic is not flawed, yours is. Not every champion with a skillshot has Blitzcrank's mana issues. Not every champion with a skillshot can hit only one thing with that skillshot every 20-16 seconds. Not every champion with a skillshot has to seriously consider hitting the wrong champion with it.
While not the only solution, the simplest solution IS "just dodge it". Another great solution is, as I mentioned, walk away. You'll position Blitz and his marksman next to your minions after the chase and successful grab, which means they take damage from minions during the fight, whereas you don't. If your support is tanky, advise them to always stand in front of you while you both run back. That successful grab isn't so successful if it hits a tank and causes a 2v2 that's in your favor because only your minions respond to the aggro.
Consider that if Blitz's marksman is following then he's not farming either, so should Blitz miss his grab, you haven't actually lost anything. If Blitz's marksman isn't following him, which will happen from time to time with more passively inclined marksman players, then beat the stuffing out of Blitz until his marksman comes to the party, if they even do come to the party.