I have a similar build. The barrel was originally 24" and .75 inches all the way to the end, and very stout under the hand-guards.
When held by the pistol grip only, it would tip down like an elephant was sitting on the end of if. To balance it,, I filled the rear butt where the cleaning kit would go, with about 1 pound of musket balls. After that it was sweet, but overall weighed approx 18 pounds.
Couple of years ago, I had the barrel profile trimmed down like yours and the length reduced to about 21 inches. This was enough to make it balance ok without filling the butt with lead.
Still shoots like a charm.
My 77gr SMK load ended up being 22.5 grains of Reloder 15. Anything approaching 23 grains (Varget or Reloder 15) for me, resulted in the odd blown primer (one of which ended up down in the trigger mech and botched what should have been a nice rapid match). With the 69 gr SMK, it works fine at 23.5 grains of either Varget or Reloder 15. I have the standard chamber.