My '93 also has a 50 mph vibration. Smooth as glass over 70.
After wheel balance, new tires, new brake rotors and pads, new tires (michelin)
still had the vibration. So I got smart and took my dial caliper to the axles, drive
shaft and wheels. Sure enough the right rear axle was out of round by 50
thousandths. Everything else was no more than 20 thous. After replacing the
axle the vibration was better, but still noticable and the axle is still 30-40 thous off.
Go figure! My point is that you may find the source of the vibration by simply
measuring and inspecting the drive train components. The ls400 has a complicated
drive train with two drive shafts, and independent rear suspension. Lots can go
wrong.