Retro is right, it's a pretty safe bet that no "classic" frame can satisfy all of your listed criteria.
The only frame I know of that might come close is the very first model MatchMate Graphite (AKA Dunlop Black Max Plus), with its 16 mm beam and a strung weight of between 306 -310 g (later versions have 18.5 - 20 mm beams and weigh a bit more, and are far more common). The extended 28.5" frame may have been designed to circumvent the Prince patent, but the resultant shift of the sweet spot further away from the grip (relative to that of a 27" stick) does translate to better serves and more power for essentially the same effort. However, the extra length also increases the swing weight, pushing the latter past the 360 mark, well above your desired maximum (and is likely the reason they had to make the frame as svelte as possible to begin with). Nevertheless, this stick looks and feels quite modern if you ignore the skinny beam and ancient cosmetics. In the right hands, it can undoubtedly hold its own against more recent offerings.
The one well-known Achilles's heel that mars this otherwise excellent design is the frame strength, as anorexic geometry + ultra light weight + increased leverage + muscular modern playing style = stress fractures waiting to happen (namely in the throat); which may be one reason no one else chose to make anything with this kind of specs back then, and why your search is probably in vain.
Truthfully, I don't know how this stick would fare against your BB London, as I have no experience with the latter, but if it's primarily more power that you are after, I rather doubt that you'd find it among the classics (as generally defined on this board), even if you had relaxed your search criteria a little more. Of course, by relaxing your search criteria, at least you'd have more options to play with, literally.
Good luck with your quest, and let us know if you find anything!
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