It's going to take you just as long to drive, towing a trailer with your bike and then riding to your ultimate destination and back, as it would if you leave the car (and the trailer you would not have to buy) at home and just jumped on your bike and rode there and back.
You may be thinking that the return journey being (very approx... I'm an Australian) 4000 miles
or so on a bike may tax your physical resources... However you will save much of your physical
resources by not having to run around like a headless chook acquiring a trailer/setting the trailer up/acquisition of the paraphernalia to secure the bike to the trailer and loading and unloading
the bike from the trailer multiple times/driving the car whilst towing the trailer with your
pride and joy strapped to it/storage of the car with trailer when your on the bike..
And all those things will absorb physical resource if you choose to trailer the bike part way
instead of just riding the bike there and back.
Also you would not have to worry about the cost of the trailer!
The money you save on juice, presuming you car uses more petrol towing a trailer with your
bike on it, than your bike would over the same distance, (not to mention the cost of the trailer) will allow you to spend those savings on better accommodation and better food.
Apart from all that, (and I reckon this is the main point you are "missing"):
Far greater adventure and satisfaction on a motorcycle than in a car.
Alan.
PS. Take lots of photos however you choose to travel.