Pre-safety Marlins are from 1982 and earlier. All the pre safety guns will be blue, with micro groove barrels.
The cross bolt safety came along in 1983, stainless and cowboy (octagon barrel) versions sometime after that. Micro groove rifling went away about 2000.
A lot of the .44s have oversize bores, making cast bullets a challenge. I had a pre safety 1894 with a .433 groove diameter. I've never measured one that was under .430. Most "44" caliber jacketed bullets are .429.
All that said, unless you intend to mount a scope, get a model 92 clone or if weight doesn't bother you, a Henry.
You should be able to find a Browning 92 in 44 magnum for about the same price as a JM Marlin, better gun for sure but is likely to have similar barrel issues.
I sold my last Marlin 44, but still have a Browning and a Rossi. Both would outshoot the Marlin, and the Rossi is by far the most accurate of the three.