Speaking from personal experience --
I was in a similar situation and did four consecutive 2 on/5 off short cycles about a year ago. I was using one of the 'cut cycle' blends, consisting of test p/tren ace/mast p at 50mg each per ml. I injected ED for 12 days, then would wait 2-3 days before starting nolva for PCT (forget if it was 3 or 4 weeks). I would then be completely off for another week or two before starting up again.
At that dosing, I was taking about a gram total per week, with moderately increased caloric and macro intake. The first two 'on' periods, I gained 10-12 pounds each time. During the 'off' periods following those, I would lose about half. Third 'on' I gained only 6-8 (and lost half again when off), and the fourth one I barely gained any weight at all (but this was largely because I did not increase calories again).
So. Over the course of 21 weeks I gained and lost, gained and lost, until I ended up close to 20 pounds heavier than I started at. Gaining 10 pounds in 2 weeks can be noticeable, but not majorly so. Especially if people already know that you are a dedicated lifter.
Just making an assumption, but if you are military and are worried about throwing red flags leading to someone having you tested for use, you don't really need to. Military urinalysis is solely focused on recreational and hard drug use, not on anabolics. Testing for anabolics is expensive, to the point that the only way you should have to worry about being tested is if you are popped for possession and they want to prove use as well (happened to a guy I worked with years ago - truth was, he was holding for someone else when it was found, and tested clean because it really wasn't his). So if you are on a ship or living in the barracks, I would think hard about how/where you are going to hide it, and how to keep a roommate/headmate from catching you injecting or finding paraphernalia.
Anyways. Point being, short cycles (in spite of prevailing wisdom here) CAN be a viable way to cycle. True, you would probably see better gains if you just did a 10-12 week continuous cycle, but if you are trying to stay under the radar this would be a good way to go. Given what you are saying you have on hand, you would only be able to do 2-3 shorts at most with high enough dosages to gain. Using prop and anavar (assuming it's real var) for short cycles probably isn't the best plan. If you were able to inject 100mg ED along with 60-80mg daily of var, you might see some decent gains given the short time period. The rule with short cycles though (from what I have read) is to hit it hard from the beginning, meaning high doses (1gram per week or more).
If you can get ahold of some more prop and var (you didn't say how much of that you have), then you could do a decent amount and should see some decent progress. I would also get some arimidex (or other AI). I don't have much experience with var personally, but I've never heard of it having any estrogen control characteristics.