I have solved my problem. In case this happens to someone you know, this info may be helpful.
To start with, my Exec Sprint is a 1998 with 40,000 miles. With this kind of mileage, some tweeking is necessary at times.
I had an off and on "leaness" to my carbs. What this caused was a slight miss-fire on the idle. Also, a very annoying stumble as I let the clutch out to go. If I took off fast, no problem at all. But, taking off fast (to me) is not a lot of fun.
What I did was to remove the air filters, carbs, gas tank and plugs. I cleaned everything just for the heck of it. Then, I started checking things.
I found one of the chokes screwed into my Kiehins only finger tight. I removed all three chokes, cleaned them, then re-installed.
I found the rubber manifild that holds the carbs to the head would spin even though the screw clamp securing them was tight. I added a shim under the clamp by wrapping a couple of wraps of electrical tape. This then secured the rubber manifold tightly.
My carbs came with the idle air adjust screw out 1.5 turns. 2 turns out gave a very smooth idle and also allowed me to ride at slow speeds in high gear. In the past, the engine would stumble when trying to go slow.
I also sealed the bottom of the screw hole for these adjusters just in case there was air leaking around them. I do not expect to have to adjust them in the future. If I do, I simply remove the silicone sealer.
My bike now runs perfect. I rode it 50 miles with no stumble at all. In the past 2-3 months, the longest I rode without it stumbling was about 5 miles.