I did not realize that there was a Minolta Autocord that took 220 film, but camera-wiki says that some of the last versions did. The Yashica 24 or 124 is about the same size, I don't think they are that heavy, perhaps a little bulky. Many of the Mamiya TLRs take 220, they are larger. I don't know of any vintage folders that took 220.
The Mamiya and Bronica 645 SLRs are not small or light, but they aren't really that much bigger than a TLR.
If you want an out-there option, there are 3D printed cameras like the Cameradactyl Homonculus or Mercury that take an RB67 or Graflex roll film back (including the 220 backs), and a press type lens, typically Mamiya Press. These aren't going to be "small" but they offer a large negative while being a lot smaller than the original RB67, Graflex, or Mamiya Press.
Ultimately I think the question is also, what do you want to do with it? If it's a travel camera, then maybe a TLR is small enough. If I had a lot of 220 film, I would be tempted to use it in a 6x7 or 6x9 camera, as sometimes 10 or 8 exposures is a bit limiting if you are in a photogenic place.