Not too difficult to accomplish. I have been working abroad for years...
Refreshers are easy to obtain (you may want to search for "refreshers" and see what has been written before).
I personally use eeii.org as they offer a home study refresher.
Friends of mine recommend the two sites below for other CME and refreshers.
www.ifeme.com
www.mediced.com
In addition to those, as you know ACLS and BLS are easily obtained at most bases, even the FOBs. You can do most of it online and then with a little sniffing around and effort you can get someone either military or civvie to sign you off for the rest, usually at the military training centers. If that is not possible, then on your RnR it is very doable.
One RnR, I had to pay extra to simply have a course conducted 1 on 1 on a day I wanted since my time was short.
In addition to those options, simply train within your organization or with the military. Document all the training and keep it in the employer files. Keep a dated training roster and photocopy it. Have a supervisor sign off as the Training Officer. Train with your coworkers and start with the basics.
You have more than enough time and ability to do these things, it just takes effort on your part but it is not impossible.
Other options are to schedule your RnR around an EMS conference, there are several a year in different places. Boston hosts a large one but you can find one in many different states. I have attended conferences in Alaska, South Carolina, Florida, Las Vegas to name a few. All can provide you with many CMEs.