Dogs in 5th wheel towing

I would only add one question. When the generator is running in the truck bed, have you made sure that that exhaust isn't coming up into the 5er? I know of one of those "mobile grooming" outfits that didn't make that provision with very sad consequences.
Once you've addressed that, so long as you have adequate temperature control and a reasonably smooth ride, I think you've got all of your bases covered.