Hey Joel welcome to BP. I am a long distance military investor myself. I currently have 6 units and am under contract on 2 more. I self managed 5 of the units myself while deploying 4 times. It is possible and this website as well as David Greene's book will help a great deal. These steps will be covered in the book but until then it should help you out:
1) Determine your niche (what kind of properties/strategies). In my opinion it is best to stick with one until you have it down pat. I have only invested in small multi family properties (2-4 units). Make realistic goals as to how much you want to spend and what you expect to make in cashflow/profit.
2) Determine a location. I chose my hometown and the base I was going to be assigned to the longest. They are both in the same state and where I ultimately plan to retire. However you can choose to invest wherever you want.
3) Build your team. Contact, interview, and vet an agent, a property manager, and a contractor. It helps if they are investors themselves (but not necessary). Talk to people on the forums that invest in the areas you are looking at. They probably have recommendations.
4) Start looking for properties. If you want to do it right, do not even start seriously considering properties until you have a team in place.
Good luck and welcome to BP. I have been on here for around 5 years, and I can safely say that this website has changed my life and provided me with an education unlike any other.