Grandmother Camping with Grandson

Would it be permitted to take my adult grandson on a camping trip?
When my husband was alive, we went camping together often. It was one of our favorite things to do since we were young and we had lots of good times together that are still in my memories. Since his death, it is something I really miss. I still want to go camping. The only relative of mine who shares my passion is my 24-year-old grandson, and I am very close to him. We want to go on a trip around the country together in my camping trailer, but I am concerned about tzniut issues because the trailer I have lacks a private place for either of us to change our clothes. It has a (kosher) kitchen, a dining area, a very small bathroom with a shower, a bed, and a sofa that can turn into another bed.
I feel comfortable going with my grandson more than anyone else because he is young and can keep me safe and do a lot of the driving. I am 71, and even if my husband were alive now, I’m not even sure if I would have been traveling with him much longer.