The only part of the Transgo kit not worth putting in is the crappy resistor (Suncoast recommends throwing away the resistor), that is what the TCM learns around, not the valve body guts. The springs, the spool seals, other little goodies, and the plate is well wroth the effort and a good investment.
The Tall Tail about the Transgo being not worth the effort to install because the TCM learnes around it, is more misinformation than the Lying Political Attack Adds filling up the Airwaves for the next two weeks. I have trained TCMs and let others know how to train TCMs and most of us have been very successful at it.
Had you put the Pump part of the Transgo kit into your Front Pump or opted for the Sonnax version, you would not be having a shudder problem you describe. If the fluid in your trans or torque converter smells burned, you should get a hold of Suncoast and discuss having the lock up clutch material replaced. You also might consider having a Suncoast rebuilt valve body if it does not look great when you have the valve body opened up to put in the kit.
Here is an illustration of where the crappy check valve in the front pump is that Transgo has a fix for in the Kit.
Sonnax also has a repair valve for the crappy soft seat, but the tool costs $1,500 to machine out the body to install their valve.
As stated above, you will need to drop the trans, remove the valve body, pop out the front cover, and remove the front pump to do the job. If the trans smells burned, you better plan on going deeper.