I see two choices. Either a motor home and tow the Jeep or get rid of the Jeep and get a proper tow vehicle suitable for a decent sized trailer. You will need to run the numbers for your self and see which would be the best solution. As for the dog? All you have to say is Pit bull and you will automatically be excluded from most private camp grounds. Right or wrong Pitts have a bad reputation. National Forest and state parks are mostly different. But if you want to camp host as a volunteer those are your better choices any how. Pay hosting may not be an option for you.