Yes --
Don't drive it! /ubbthreads/images/graemlins/wink.gif
Honestly, though, there is nothing you can do. To get rid of cowl shake, you would need a clean-sheet redesign of the entire car. The TR6 frame is as flexible as a pre-teen ballerina.
Sure, you could -reduce- the cowl shake by going with much softer springs, but that doesn't really benefit the handling. You could also fix a hard top, but that won't help much.
Cowl shake is caused by a lack of torsional rigidity in the body/frame. Passenger car technology didn't really evolve enough until the 1990s to almost entirely get rid of cowl shake in convertibles. My '69 Corvette shakes, rattles and rolls. My TR7 sways like a belly dancer. My '86 Dodge wobbles like a hula girl. My '89 Corvette tremors like I'm driving on Mt. St.Helens.
My 2002 Corvette is the first convertible I've owned that doesn't have a bit of cowl shake. (A Motor Trend reporter complained of cowl shake in one, but I firmly believe he is mistaking the jarring bumps of the road for cowl shake.)