Thanks again for the replies. I wanted to post an update: After some more back and forth with Fluke I wasn't able to convince them to fix it, so I asked them to send it back unrepaired. I just got it back late last week and took another look at it. I tested AC volts, DC volts, DC mA, and these seem to be reading accurately, as best as I can tell with my equipment. I then opened it up and took another look at the MOVs, and two of them are indeed fried. (They are ruptured, with black residue on the outside.) I guess I missed this before I sent it off.
Having recently watched Dave's videos about multimeter input protection and the design of the 87v, it seems worth a shot to replace those MOVs and see if the ohms range comes back to life. I haven't worked with MOVs before, so I'm not sure how to interpret the markings to find a replacement. Can anyone offer some insight on this? I will attach a picture. The MOVs are roughly 1cm in diameter and the markings read "05 K575 06 18". I'm guessing the 06 18 is a date code. I googled this of course but I'm not sure I'm searching for the right thing.
As for Fluke not repairing the meter, I was frustrated and disappointed about this, but at the same time I have to agree with them that taking another look at the meter itself it does look like it saw a big voltage spike. I can't remember anything that could have caused this, and it seems like those who said the meter should be able to handle 220V just fine are correct. I work in a shared space, so it is possible someone borrowed my 87v and zapped it somehow. I'll probably never know. But from now on I'll be keeping it under lock and key.
If anyone can suggest replacement MOVs that would be very appreciated!