Ardent... If you are considering a 7mm cartridge and with your love of the .375 H&H, why not do a .275 H&H Magnum? You will be building a rifle unique within your battery (less duplication, albeit a mental hurdle), and you are all set for components, both bullets and brass. It would make a fine running mate to any of your .375's but in particular, the pairing of the Merkel .375 H&H double and this M98 .275 H&H holds particular appeal. It is also not a "soul-less" choice... and differentiates itself from the No.1 and M77 when you are reaching into the cabinet.
Not trying to muddy the waters, but after reading through the thread, it seems that it may tickle your fancy and perhaps grab your imagination... of course there are faster, hotter, more modern 7mm out there, but then those ones don't really fit in the neuro-networks... and the .275 H&H can be loaded for the kind of speed you are looking for, so it won't quickly give you that "redundant feeling" (sung to the tune of the Righteous Brothers song). A tough 150 grain in excess of 3200 can cover a lot of territory... plus "coolness" in spades.