i have the same issue but around 65 then 70 it's far less around 75 is gone completely .
its done the shake ever since i got it i didnt notice it when i test drove the car mainly it wasnt running correctly so it didnt have the guts to get to passed 50 lol.
if the car wasnt rust free with decent paint id most likely have just stripped it and got another one.
ive done an alignment digital rack by someone i trust
new tires digitaly balanced cooper cobras
4 new rotors just incase one was out of balance or warped and 4 new calipers all raybestos
all new suspension ie shocks struts strut mounts
all bushings idler arm centerlink and inner and outer tierods even the steering box and springs and spring mounts energy suspension for all rubber replacments moog steering parts
all new wheel bearings timken brand
aluminum 1le "from a real 1le car " drive shaft with new U joints and high speed balance and so its not that
replaced the rear axle timkin bearings again new posi unit and gears all new interals basicly
steering column to fix what was got broke from it shakeing so bad
ive had 4 alignments done and nothing changes it so its not that even my alignment tech has no clue what else it could be
ive changed just about every part that moves going down the road and even with it being much less and not as dangerous as it was its still not how it should be
i just gave up and stopped doing the speed limit as nothing seems to cure my 57-68mph shake it bounces the dash pretty good around 60-65 our local speed limits . but i do 75 and its smooth as ice
after spending more then 2000 on parts i gave up and avoid doing driving at thouse speeds other then that its smooth as ice
around here you spend 600 and you get a waiver for E-check
my only advice has been from a chevy dealship said i need to find someone that still has an on car balancer thats how they used to balance these cars back in the day
no place has them anymore apperently
only clue ive got is when on an dyno it dosnt shake at all so its something with the front end .
rotateing the tires around dosnt help
under wide open throttle there is no shake
also when going up hills no shake
but going back down i get the shake
its no longer the major dash breaking shake its now a much less harsh one but its still there
i hope others can fix theres but apperently this one just wont stop