I can't answer that for sure. I think you might want to go with water base paint instead of oil based, but this is just because my husband was a sign painter and I'm thinking that the oil based stuff will/may bring fumes that might harm your beardie, but then there may be some fumes connected with the water based also. If you do paint the viv, you should make sure to air it out for several days. I'm not an expert on this by any means, so I would wait for other people's input
BTW: I was wondering something, do you live in Tombstone, AZ? I noticed your screen name and the note on your signature line and couldn't help wondering.