Here is what I have, hope it helps
From a 3"chamber 3" Judge
250 Gr cast 7.5 Gr Unique 748 AVG
From a S&W Govenor ( very similiar to a 3" Judge)
250 Cast 7.0 W231 AVG 679
For comparison
From a 7 1/2" Ruger super redhawk
250 Gr Cast 8.5 Unique 1008 AVG
250 Gr cast 7.5 W231 907 AVG
Hope this helps. I know the loads arent side-by-side comparisons, but maybe it will give you an idea.
It seems to me that the 410/45 LC guns are inefficient when shooting the 45’s
I realize i am comparing a 7 1/2 inch to a 3" , but in my 38's, for example, I only lose 50 FPS between a 4" mod 10 and a 1.8" 642, half the barrel length...about the same difference as the judge and the ruger,percentage -wise.
All that being said, the Judge is the one gun I regret selling. If you want to have some fun, shoot some wet phone books with the federal that has 4 000 buckshot pellets in it. i was amazed at the penetration. They went almost as deep as a .38
Plus as far as self defense goes, I am pretty sure a 250 grain slug at 700 FPS would be pretty effective
JIM