Just found this website it has 5ba socket head screws listed, it's in Australia so might take a bit of time for them to get here but hardly a large packet so ordinary mail should suffice.
This is a problem that will be affecting folks more and more. The odd sizes of BA were never used much in industry only the even sizes, and most industrial users will have moved to metric near equivalents now, so the problems of a diminishing market making it no longer viable to maintain stocks or manufacure any more.
The alternative would be to try and squeeze M3.5's in, they are available, the pitch is 0.6mm against 0.59 for the 5BA and not a huge difference in od but possibly enough to stop it being possible.
Edited By Keith Long on 02/04/2015 19:14:35