When I feed live, I use a separate enclosure, that is a lot taller and longer than the tubs they live in. It makes it easier to watch and make sure they do not get bitten, as well as give some extra room for shy feeders. I rarely feed live anymore, but did for quite some time.

My technique is to let the snake sit in the feeding bin for a few minutes and get a little comfortable, then feed. After they eat I let them sit, and when they've let the food settle a bit, they start to look around for a way out, and this is when I transport them back, making sure to support (but not squeeze!) where their food is. I have never had a problem with regurg. Just don't take them out *immediately* after they swallow their food and you should be fine.

That being said, I feed F/t normally, and right in their tubs, without ever having an unwarranted feeding response. I think it really depends on your snake. They are all different.