Congrats on your TT!
Camping is great and it's a great family activity.
Personally, if it were me, I'd buy and install the water heater by-pass kit, then bypass the water heater, drain it, then run the pink through all the lines.
I usually use about 3 gallons to winterize, which is over-doing it, but I like to let a good solid pink flow out of the hot and cold sides of each of my faucets when I winterize and enough to make sure the sink/drain traps have a good amount of pink antifreeze in them as well. At $4/gallon in my area, it's cheap insurance.
I'd be concerned, as one other poster stated of getting the pink into the toilet flush valve, there are some small diameter lines in the toilet.
However, lots of other folks just blow everything out and never have an issue, so to each their own. I spend a couple bucks on the pink and then don't have any worry all winter long.
Good luck.
2017 Dodge Ram 2500 HD, 4x4, CCSB, 6.4L HEMI, Snow Chief, tow package.,1989 Skyline Layton model 75-2251.