I shouldn't be the one saying it because I haven't attempted twice, but after I did it once, it did come back up again as an option, so I would believe yes. No idea on the limit though. I highly doubt they would give you the option again if you couldn't use it again though (and I doubt coding would show you an option that would glitch when attempting to redeem, but it's neopets so idk).
Also super jealous of everyone getting the snowy av. I've visited twice and haven't received it because I received items lol. 17 years of playing, more on than off, and I've never earned that avatar. I will be happy to finally (hopefully) check it off though. Just hope I can get there before all these cry babies on the boards get the percentages knocked back down lol.
-Edit-
Next Snowager try thanks to @
(you need an account to see links) script,
Something Has Happened!
You are now eligible to use 'Snowager - RAWR!' as an avatar on the NeoBoards!
17 years of waiting and only got it thanks to this damn event. F~ck the haters, this sh!t was too ridiculous to begin with.