I think this was a really bad decision for a lot of reasons, but I really wasn't vocal during the process so I can't really complain. That being said, fighting minimize Baton Pass Drifblim is gonna be the worst thing ever =[
Rain+Thunder. Spam it. If you see a Drifblim in the preview, lead with Ogre, lock yourself into Thunder if they lead with Drifblim. If they lead with something else, play normally, if Drifblim comes in, switch to something with Thunder, lock yourself in. Ogre outspeeds, so you should never face a Drifblim with more than one turn to set up, and it can't live more than a single hit without a sash. DB uses Minimize, you OHKO. DB uses sub, you break it. As long as you're faster, it loses, and even if you're slower, at worst it can pass a sub or a single Minimize. Not exactly gamebreaking.
There are 2 exceptions. If you're running without Rain(or with a Kyogre without Thunder), which is relatively rare, then counters become harder. In that case, Perish Song, Haze, or similar Phazing moves that don't have accuracy are the best bet, and can usually fit easily on a team(Darkrai).
Alternatively, you might get Mean Looked with a scarfer locked into Focus Blast or similar, then have that passed to Drifblim. In that case, you got outplayed, which is your own fault.