The rules regarding pets in tents and pop ups as written on the Disney web site is confusing at best. Calling CRO for guideance really dosn't help, they dont know!
I suggest anyone with a less than common question about FW call the reception outpost. They are the ones who know the answers.
The FW kennel is for standard house pets only. It will probably be best to leave your tiger at home. The kennel does NOT accept reservations at all, so don't bother trying. Current rates are $6 for a day stay and $9 for overnight. If you check in for the week you will pay the overnight rate. Pets must be kept in the pet area 1600 - 1900 loops (the 300 loop is a "test" pet loop) and on the canal pet walk. You must drive them to the kennel, you can NOT walk them to the kennel.
The kennel is open from 7:30AM to 10:00PM, but if you are out late the staff at the reception outpost can walk over to the kennel to get you dog to allow them to come to the site for the night. FW employees do NOT remove the pets form the cages for any reason. Yo must stop by to walk them yourself. Most of the caes are stacking models, one over the other. Interior dividers can be removed to allow space for larger dogs. In adition to these cages which are indoors, tehy still have a number (I'd say 15 or 20) of outdoor cages/runs. While they have ceiling fans over them it does get quite warm during the summer.
If you are camping in a tent of pop up, the rules restrict you to having you pet on site only when you are there. I have heard many stories as to why they have this rule including to posibility of escape from a canvas enclosure to the possibility of overheating if left alone. I have never found out the real answer. With that said, they do not go around peeking in the windows of pop ups to see if a pet is inside. They only enforce the rule when there is a complaint.
So if you are comfortable that your pet will not escape or bother the neighbors to posibility of FW staff getting mad at you is fairly low. Only you know your pet.