Sorry you can't use ice, would a cold (but not too cold) compress help?
Remember we are more susceptible and more likely to react strongly to things that might not have bothered us before Lupus or before Lupus meds.
The steroid won't hurt and might possibly help, but I would watch it closely and if it's still hot by 10 or 11 pm you might consider the ER -- I would definitely go if you are still even a little bit wheezy. I say that because you don't want the reaction to get away from you overnight and wake up with something much worse.
If you do decide to go to sleep, maybe get up early - 7-ish at least, to check on it.
Hope it gets better soon!
Lynnwood, Lupus & Sjogren's Moderator, Dx: 2002DIAGNOSING LUPUS & LUPUS RESOURCES
"Life is far too important to be taken seriously." - Oscar Wilde