Re .32-20:
I had a Uberti SA & a Uberti '73 in the caliber.
The '73 WAS heavy.
You may still be able to order or find a used one of either, if you look hard enough.
When we were setting my wife up for CAS in about 2000, we got her a matched pair of Ruger Vaqueros in .357 Mag, with the intention of shooting .38s.
She found a Marlin in .32-20 that was light & trim, and loves it.
Bought a second one we stumbled across at a gunshow later.
I found, in reloading .38s & .32-20s, that I had to throttle waaaaay back from the standard loads in the manuals for the .32-20s through her Marlins.
The first test batch was actually cratering mild steel targets I have.
No .38 Special load ever fired at those has done that.
Saying current cowboy .38s would be about like the standard .32-20 loads wouldn't be quite accurate.
The .32-20 was a high-stepper, and the loads I was doing for my own guns were zippier than the powder-puff CAS .38s commonly used.
As for heavy rifles, if you can find a used .32-20 Marlin, or wait till Marlin brings them back new, those are light & handy enough for 5'2" females to handle easily, and the bullets are not that expensive.
Just some thoughts.
Denis