Well, if the runs are not *real* base, you might be able to just sand them flat, then dust some base over it, then spray the candy over it again (just the affected areas). You will need to blend both the base and the candy on the flames.
You may have to retape the flames that have runs on it though to keep it from "bridging" across the tape. you'll never get the tape of if you don't
This might be your best bet, especially since you said one side was all right. So I assume that you ony have a couple runs in it?
Without seeing it, I really couldn't tell you.
This might help you though.
Glad you like the stands!