I did this years ago with MIDI for electronic tracks. Some playing, some programming. Never tried it with acoustic drum tracks, though.
I send out an .mp3 with a blank measure embedded with four clicks at the top of the tune (actual count may vary based on time signature, of course) at the top of the tune and send it off to my drummer of choice along with an email confirming the tempo. Said drummer has his/her kit mic'd up in a nice space that is equipped with a DAW setup - doesn't have to be a big one, just enough to capture a drum kit.
We trade .mp3s until we're both happy; then, using something like WeTransfer.com, they send me the .wav version of their tracks with a blank measure embedded with the same clicks at the top of the tune.
The tracks come back to me in all sorts of different configurations, depending on the drummer and his rig/recording skills and the tune. The most compact version is typically Kick, Snare, and L/R mix...but more than not I get a track for every mic they've got, because that's the configuration that leaves me the most flexibility when I'm mixing.
Of course, this method works on more than drums. I record and collaborate with friends all over the globe. I'm lucky enough to work with Matt Bissonette here and there, and he cut a track in a hotel room in Singapore for me while out on tour with Elton John this way. Drums for the same tune were cut in Orange County, CA. Guitars, keys and vox cut at my place.
Interestingly, it's a deep Elton John cut. Anyone wanting to hear it, click here