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I had a similar problem, and ended up biting the bullet and going for a 6 speed G50. Lower shifting effort and the extra gear are nice to have. Of course you need to do some significant surgery to get it into the car due to the extra length, likely blowing your budget in the process, but there may be some good options coming along in that regard- pm if you're interested.
One thing I'd suggest is that your requirement for a 10% taller top gear is actually more than you'd want, as 286 kph (177 mph) will be at or very close to the absolute drag limited top speed of the car, requiring miles of straight. 5% headroom will likely be plenty as long as you're not open road racing.
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