I've shipped using UPS several times and received many dragons using UPS and one dragno through FEDEX. The one experience I have with fedex was far less than good, and I've never had a serious problem with UPS.
I was unaware they don't have a policy for bearded dragons. I've always told them that's what I was shipping, and they've marked the box as live, harmless reptile and sent it on without an issue.
But we are talking about legality here. Legally, unless something has changed very recently (I know they were working on it with UPS), its illegal to ship via UPS. This doens't mean you own't recieve the animal a breeder shipped to you nor does it mean that you wouldn't be able to ship it. But if your box was stopped at another hub somewhere down the line and just the right or 'wrong' person (however you choose to look at it) saw it, legally they have the right to confiscate it, and charge you shipping still, PLUS they could sue. Personally, rather than dealing with that headache, I would rather ship the legal way. I am not a huge fedex fan, but I do have my acct with them legally authorizing me to ship live reptiles (no hots). I could go with Delta Dash but people are trying to save money, not spend extra these days. And DHL no longer ships animals. So like I said, unless it has changed recently, Fedex and Delta are the ONLY legal means of shipping reptiles. USPS I wouldn't trust with my crickets much less a $200 animal. And UPS, well, if they can sue me for shipping and keep my animal, no thanks. I will wait till its legalized. JMO