Well there are several ways, but epoxy doesn't like heat.
What I'd try first is to go get yourself a hot knife. That may not be the exact name, but basically it's like an inexpensive soldering iron which is setup to hold a hobby knife blade. Plug it in and when it warms up, it'll cut through epoxy quite nicely. You may not be able to get to all of the excess with it, but it will make short work of what you can get to.
IIRC mine cost about $6 or so, well worth the frustration it saves me...