I know EXACTLY what you mean. My coupe is stock, but once I decided to probe its limits, and found myself at 148 mph. You ask these things to go, and they'll GO!! The most troubling thing after a run like that, you realize that the most comfortable envelope for the car and the driver is in the 90-120 mph range. And that's at dire risk to your license (You can't outrun Motorola, Bell, or Fido, as the LEOs say)

A certified 6.0 AMG is going to REALLY fly. Back in the day, each of those AMG conversions consisted of hand picked engine, transmission, suspension, body and interior and paint and wheel upgrades selected by the customer, so each was unique.
I've seen the catalogue from that era (1987) that Barry Taylor of AMG West in Calif. had, and as I recall the 6.0 32v was the top 117 engine upgrade they did on those cars. Each AMG upgrade was very very expensive, and usually cost over $30k-$40k to start with...

My first experience involved driving a nearly new lapis blue 1884 500SEC AMG from San Francisco to Denver in 1985, at the request of a Judge, and it was a memorable journey indeed, I knew I had to get a car like that one day. Took 11 more years but I finally did.

Your sedan could be one of the real uber-126 ones, like Satish's, the one Jack Middlebrook had (I saw it in Vegas, it was terriffic!) and Talbir's...

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1991 560 SEC AMG, 199k <---- 300 hp 10:1 ECE euro HV ...

1995 E 420, 170k "The Red Plum" (sold)

2015 BMW 535i xdrive awd Stage 1 DINAN, 6k, <----364 hp

1967 Mercury Cougar, 49k

2013 Jaguar XF, 20k <----340 hp Supercharged, All Wheel Drive (sold)