Ariane is contractually obligated to vote for 'Blasty McBoomerson', though she humbly suggests 'Trogdor the Burninator' as a second choice.
More seriously, there's a few things I can think of to draw inspiration from: The tank's original designation 1A-X B3 could be turned into a name with some squinting and creativity. Could also look at the Tank's history as a force of good in the Wastes and consider epithets that those the crew has saved over the years has given it. The tank's appearance - invariably very intimidating - could also factor in.
As for the Crew name, I'm drawing a bit of a blank at the moment. I'll think on some ideas while I'm at work.