Striping Enamel from Vinyl without destroying the Vinyl

I made a big boo boo because I didn't listen to a friend close enough.  I am working on my first vinyl model and I mixed up the fact that he said, "use acrylics and not enamels because enamels will seem gummy and never dry on vinyl."  Well I base coated my test subject with some grey enamel paint last night and it feels all gummy.    My big question now is how do I strip the enamel without damaging the vinyl underneath?

 Thanks, folks!