The shuttering from the trans sounds as if the lock up part of the torque converter has failed. Think of the lock up (l/u) clutch in an auto is the same as a stick shifts clutch but it only comes on in 3rd and 4th when the brakes are off and the speed is above 38 or so. Once the clutch material is gone it doesn't report as fully engauged to the ECM because the clutch is slipping. Actually the ECM looks at the crank speed sensor and compares it to the final drive speed/drum speed. They should be nearly equal when in l/u. If not, it reports an P0770 error.
Look at the theard with P0773 in the last day. It has some good info in it.
The Dreaded P0773 Plague
Also try this, take off in low, allow it to hit 2nd, now very gently apply the brake but not enough to slow the car. It should go into 3rd gear about 25mph but NOT allow l/u. Continue to speed up to 45. Does it still shudder/shutter?
Meaning it could be ECM/electrical related and not just the t/c but we need more info.
FWIW: the longer it does this, the more damage it does.
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95 Cam, V6 1MZ, Auto A541E, LE >245,000 miles!