To give you a 100% accurate answer we would need a lot more information and honestly it would never be 100% accurate as there are way to many variables.
A group 24 is small for any camper, if it is getting old I would say it would be the weak spot and I would put in a 27 or better. With a new(er) 27 or better and the fact that you would need minimal lights and heat and the fact that you could also use the truck battery for extras like charging batteries when driving and the fact that you will be doing some driving - I would not hesitate doing it myself. Just take an extension cord along and if you get someplace that has a plug in take advantage of it to top off the battery in case you hit a cloudy time.
I have gone a week on my group 27 parked in the summer but I have no draw on for fridge or hot water tank. If I drive a little each day I am always topped up and that is without the solar that you have.
On edit (as you added the post above): Do the battery upgrade and hit the road. The generator will be your emergency fall back should you need to heat or have a cloudy period.
