I agree with Masta, you probably have a beer bucket and not a wine bucket. Just keep dumping it out if you see anything backed up in it and clean it before sticking it back in. Just don't dump it back into the bucket.
You might want to get a small spray bottle at the Dollar Store and mix up some sanitizer (Potassium or Sodium Metabisulfate) and have it on hand to spray it down before you stick it back in. Just keep it as clean as you can. Like Masta says, in a few days the foaming will subside and you will be just fine.
We all have had problems like this at one time or another and things turned out just fine. Look at the Mead forum and the Joe M's mead thread to see some foaming action.