I'd start with 90% isopropyl alcohol (from any pharmacy). It's safe with most plastics (do a small test-spot first, of course). After that, it's a crap-shoot -- next, I'd prolly step-up to ethyl alcohol, then methyl alcohol (in that order). Petroleum distillates aren't likely to be effective, and more aggressive solvents like acetone (fingernail polish remover) are kinda risky.
...good luck,
LK (escaped chemist)