Hit it with some varnish and everything will be just fine. If your figs get heavy play, hit them again every once in awhile with more varnish if you're worried about wear. If you use the dip method and choose Army Painters, that stuff puts a bulletproof coating over everything. You still need to hit it with a matte varnish to knock the shine off though.
Zombicide has trays for all it's miniatures. My other games are not so lucky. I actually put them in displays for my office and game room. My stuff does not travel. People come to me!
People come to me as well and only my smaller stuff travels. I'll take a picture of my Zombicide case when I get home tonight. But these are nice tips!