Roger,
Many thanks for your very helpful posting.
I have taken the 20 weight oil out of the dashpots and gone back to 30 weight. I'll try the car out today to see if this makes a difference. The dashpot springs are brand new, so I don't think that is the problem.
I had RH "rich" needles in the carbs, but I switched them out last night for SM "standard" needles, on Randall's recommendation. I'll see today if they make a difference.
I have found, using the Colortune, that my mixture is too rich. The car seems to run better when it is slightly rich, so I need to fine tune this adjustment. Your statement that "a tiny bit too rich is ideal" seems to be what I am searching for.
The problem may be the timing. I had Jeff rebuild my distributor. When he returned it to me, he included a note "12-15 degrees BTDC and w/o vacuum!" I asked him about this because all the manuals say "4 degrees BTDC" for the TR3. He answered that the formulation of today's fuel, even non-ethanol (which I use) is so different, that 12-15 degrees is what to aim for. And he added, "Update your manuals." I am currently running 4 degrees BTDC, so today I will change the timing to 12 degrees BTDC and see what happens.
In addition to the small explosions on the overrun, the car also currently tends to diesel. This is probably related to the mixture being too rich. A friend told me that another possible cause of dieseling is an idle that is too high. I lowered mine from 1000 rpms to about 800 rpms, but then the car tended to stall when stopped.
I think (hope), thanks to you, Jeff, and Randall, that I am on the right track now. Today will tell.
You are right about how these cars functioned when they were new. I had a '58 TR3 in 1962 and it gave little to no trouble.
Many, many thanks.... And Happy New Year!