Another alternative to attacking Egypt is to put 6 units next to Egypt (2 from transport, plus 4 already in Africa) in RD1 and purchase a carrier. For protection you can fly in Japanese fighters from the pacific carrier in RD1. As long as you take out British destroyer & cruiser in Germany RD1 you will be able to funnel troops to Africa.
I have seen used very similar strategy against me. The Germans sunk my med ships with the planes, purchased AC and a tran. Of course, I was not able to sink AC, BB and 2figs as Hobbes suggests but I was still a happy player because what Germany put on water equaled to 7inf and was doomed sooner or later anyway.
It was actually sooner as he made the mistake of spliting the two ships R2 and the AC was sunk by bomber and the 3figs (one landed in Moscow for that purpose R1). UK took Berlin R6. Otherwise I would move my three UK figs I bought R1 and the other one I got from the start to Moscow R2 to sink him R3 with airforce of a bmb and 7figs if he only dared to enter the SZ15 anymore. Yes UK can have this on R3 if Germany is not attacking AE and UK is not wasteful.
Meantime an allied fleet consisting of 2BB (one UK, as I take norway on russian R1 so that it cannot be destroyed), DD, 2AC, 4 figs, cru, sub could enter the SZ 12 R3 completing the trap. Germans will lose everything on the water R4 the latest.