I have a similar model, the PTR91SC with the welded rail. (16" with G3k forend)
I ended up adding A PCS Brake, and Springfield modified buffer, which really tamed movement under recoil. Money well spent.
I used a Larue LT-101 (.625") riser and Warne low rings to run a scope for a while. Perfect fit over the rear site. Couldn't have been any lower.
Changed that setup to use just the Warne lows with the rear site removed. And plan to change those rings to a Badger set pretty soon, and Loctite it all down.
The cheekweld sucked on the factory stock so I changed to the Magpul PRS2 which is much better.
A springfield trigger job was a huge improvement, and an RTG steel lower put the grip in the right spot to get good finger placement on the trigger.
Got a wide forend from RTG. Pakastani, not HK.....but much cheaper. I am also in the market for a surplus bipod. I've read of the mounting channel on the POF forend being wider than the HK, so be aware of that.Not SURE that's true but worth mentioning.
If you scope it, look at scopes under 12 inches OAL, You'll need it to fit between the charging handle and your eye.
Tried the PSG1 style grip, but didnt care for it. I felt the bottom chunker thing held my hand in position too well, limiting variation in my arm placement in different shooting positions. Went back to the standard grip.