GF
Since the MAP associated with the precision approach is determined by the pilot in terms of a DH and not a specific point along the final approach course, it becomes difficult to ascertain when to discontinue the approach if visual conditions are not encountered
This doesn't really ring true to me. If you've not acquired suitable visual reference to continue the approach upon reaching circling minima then you go around no? Given a LPC (civvy I know but I can't think it'd be wildly different in the mil) expects the handling pilot to be able to maintain profile to not more than half scale deflection on the glide slope, and make account for a hotter than ISA day, then that pretty much defines the farthest out from the runway you could be upon reaching circling MDA. It's reasonably likely this will leave you more certain of position that any NPA, or am I missing something?