First, sell the Nissan Rogue, towing capacity is only 1100#.
Use the money and purchase a larger SUV. My wife has a 2014 GMC Acadia, towing capacity is 5100# (Has the tow option). Several SUV's meet similar towing capacities.
Then purchase a small 18-24 ft. travel trailer, weighing about 4000# dry. Smaller the better.
Travel with the (two medium dogs, a cat, 4 small birds, a bunny, a tortoise, and a snake) in the SUV, seats fold down so all should fit. Most of your luggage can be stored in your Travel Trailer.
With this arrangement you don't need to find a way to get your Nissan to Washington. You will have a pretty good Travel Trailer for future adventures without spending a lot of money.
Look for the new tow vehicle first, then find a suitable trailer for towing.
When you find what you want, check back on this forum and these fine folks will let you know if your selections make good sense.
Also, when you check into a campground you don't need to tell the camp host about all the animals, dog and cats are sufficient. I doubt that you will be taking the snake, tortoise and birds for a walk! Good luck on your adventure.
