I think your problem boils down to Jeppesen (check spelling above!!).
Some of the worst charts in the world!
However, a thorough understanding and brief should cover you.
Could you not, in good-ish weather, fly down to beacon height and use that as you MAP? Or do a rapid descent from the beacon to minimum, and if not visual, go-around immediately, using Commander's discretion to judge that you MUST have been inside the MAP?