Useful links from SW. I'd forgotten about ASM 21 (even though there's copy in the cupboard). There's a lot of good info in it, with quite a lot about manufacture.
For making just one or a few off of a pole it might be enough to hand lay onto a male mandrel and cure with moderately elevated temperature and shrink-wrap on the outside for consolidation. The external surface won't be wonderfully smooth but presumably that won't matter too much. I seem to remember they made the wing spar for Gossamer Condor man-powered aircraft that way. Not sure how they got the tube off the mandrel after cure. If it was aluminium it would expand as the shrink-wrap shrinks and might just shrink enough after cure to be removed reasonably easily.
If you want to make a lot of poles it might well be tempting to pultrude them.
For a long time pole vaults have been glass (I assume S-2 glass or similar for high-end competition). Mixing in some carbon in might be slightly dodgy from the point of view of strain to failure; 2.3% for the highest performing (expensive) carbon fibre and getting on for 5% from good, carefully handled, glass.
I can see carbon being used for a smaller diameter pole where the stiffness means that a smaller section can be stiff enough in bending and can still see high curvatures because of the lower strain for a given curvature (smaller distance to the extreme fibre).
The flexure strains glass pole vaults see in use will need quite a high-performance resin from the point of view of strain, for much repeated use.
Interesting design problem.
The traditional jumping off point (sorry) for mag alloy is MIL-HDBK-5, though the material in there is pretty old and conservative by today's standards.