Just curious, don't you receive a housing allowance while on this tour? If not, why not? If so, why are you planning on taking up on a long-term basis the limited space in a recreation facility?
You may not be aware of it, but long-term residency (and 2 years is certainly long-term) is referred to as "homesteading" by people who would like to camp there for a short period of time, but are unable to do so when the limited spaces are taken up by homesteaders.
There are exceptions. One is active duty personnel on PCS orders who need to stay there --
temporarily -- while awaiting quarters. Another could be a retiree who needs to stay for a longer period while being treated at the base hospital. You don't seem to be doing that.
Now, in the winter, there probably aren't many folks looking to camp there, so by all means, stay there. However, when the season starts, you may be asked to move on if this is the military campground (MCG) managed by Ft. Eustis. See the campground reviews for this facility on...
Military Campgrounds ...and while you're on that web site, pop on over to the forum and see what the general opinion of homesteaders is among people using the campgrounds for their intended purpose, i.e., recreation. (And for those who are just marking time until they can get to the 'Reply' button and blast me, you ought to read those discussions also!)
As a military retiree/full-timer I personally am NOT pleased when I get to a military campground and find there is no room for me because the campground is full of homesteaders. Yes, there are some MCGs where this is still allowed, but that number is, fortunately, decreasing. I have NO problem with long-term camping in a MCG so long as people are not being turned away.
Now before everyone jumps me about this, stop and think about it. There is a reason that public campgrounds, e.g., National Parks, State Parks, Forest Service campgrounds, etc. have time limits on camping -- they are for recreation, not residence. That is why military campgrounds are almost all managed by the base morale, welfare, and recreation office, NOT the housing office. People who take up residence/homestead are going to end up depriving someone from being able to use the facility for its intended use, which is and always has been.... recreation.
So by all means, save some bucks this winter, but when the campground starts filling up in the spring, it would be appropriate for you to move out to an RV park/campground that is intended for long-term/residential use. Your base housing office should be able to help you with that.