Hello.
I have some suitable bats, many either have fewer grains than you are looking for, or are slightly heavier, or are not quite the right middle position etc. I have a beautiful Slazenger V12 from the original run of 200 that matches everything really, aside from having slightly more modest edges, and 8/9 grains. Same with a Bubble Players i have, this one has suitable edges, and dead straight grains, but only 8 of them. Some of these 4 below don't match everything, but come close to your spec though:









All 4 weigh 2'10
The Purist is a 42/43mm edge. Argon is 41mm. The two TON bats are 40mm. Argon and the TONs have thinner handles. TONs are oval, Argon is semi-oval. The Purist has a thick semi oval. Maybe the Purist has a middle a touch higher than you are looking at, but it has offset edges to provide a longer middle.
The Purist and Argon are £399. The TON bats are £285. Free delivery, and in the case of the TON bats, free knocking in.
You may be able to get exactly what you want from a custom made bat, and i am sure there are some forum sponsors out there who will be very well placed to help, as well as other companies of course. But clefts/bats like that come along only so often. I've had 3 or 4 pass through my hands since we opened in 2011. Please send me a pm if anything i have tickles your fancy.