Thanks for all the suggestions, fellas.
I first tried some red electrical tape for a cross, but it looked like someone slapped electric tape on the sode of a ship, trying to pass it off as a first-aid cross. Tacky.
I'd already been thinking about taping it off, as some suggested, before I made this thread.
Anyhow, rather than risk damaging the build, I hunted around in my big Box O' Spare Parts and found a piece flat and big enough for a test run. (an alternate chassis for my Batmobile, white mold).
I taped it off, painted a green stripe, then let it dry a few days. I then used a Q-tip and a bit of thinned out mineral spirits.
It was slow going, but I'm happy to report there isn't a single trace of green. It didn't do any damage, just dulled the mold just a bit. That's easily remedied, though.
This is the first Hasegawa I've ever built, so I have a small bit of concern about the compound of the molding.
I'm just going to do the non-display side first, just in case.
Again, thanks for the suggestions.