Ah yes the mysterious shake... As far as I can tell, its the torque converter... Though if that's not your problem, it could always be your idle sensor... Could it possibly be the U-Joints as well?
Wheels require balancing.
have the tyre checked for balance
you have to be more specific for a proper answer... at what speed does it shake?.... 40mph> ? what do you mean mist?
Your tires are unbalanced. You need to get them balanced.
have front suspension checked
possibilityThe car is out of alignment or you have a wheel out of balance.
Check tire balance or wheel bearings in front axle
Probably wheel balance.
The fact that it's a piece of junk chevy, get a mustang. Ford all day.
Bad tires, out of balance , wrong wheels , bad tie rod end.
have your front tires rebalanced.