I had swollen hands too and it was OK to keep the rings on, they can use tape around them if necessary. Otherwise, the only thing I can think of is place hands in cold soapy water, or a whole bottle of olive oil (lol). I have to work on mine too, cause I get a full-body xray done on Monday, and I have a ring on every finger except for the tumbs. With mine, it's not the skin that is swollen, it's the knuckles.. so they might have to cut.
Angel, I hope all goes well and I will send you good vibes..
http://smileys.smileycentral.com/cat/15/15_9_16.gif