You covered the "Heavy" part so I won't hit much on that except to say that that PTR quad rail is a pretty heavy fore-arm. It makes the rifle nose heavy. for hunting I'd swap it out with a normal HK plastic hand guard of whichever style you prefer.
On scoping a PTR you have two issues: Scope length, and eye position. The PTR charging handle comes back to just in front of the receiver, and then pivots up 20 or 30 degrees to lock the bolt to the rear. You "HK Slap" it down to chamber a round. So you need to make sure your scope objective bell is far enough back/up/small enough that it not only allows the handle to move through it's arc, but doesn't block your hand when you slap it down. Riding the bolt forward on a roller lock is a no-go.
So some careful thought needs to be made. I had a scope similar to the one in your second pic on my PTR91SC, and found that the objective was in the way. I know folks that were doing serious long rang HK builds that have modified the cocking tube so the charging handle goes down rather than up and allows a big scope, but that's a serious modification that involves custom fab and a welder.
So for problem 1 you'll want a short and/or skinny scope, or to mount it higher. Which will run you straigt into problem two, getting your eye behind it. HK's have a pretty decent drop to the comb to begin with, and adding a scope makes it worse. Most everyone uses some kind of cheek riser. Either a built into the stock (like Magpul's PRS, heavy) or slip on like
this one.
You'll want to be realistic about how much scope you need for your planned shots, find the shortest one you can, mount it as low as the rear sight and charging handle will let you, then build up your stock to get your head behind it.
For me, I was looking for torso sized accuracy at about 600M max,so an MTAC works very well. The straight walled objective is nice and out of the way. I put it in the P.E.P.R. mount it came with, but I wish it was a tic lower. I might end up swapping the mount for a lower one, but for now it works pretty well. I also wanted a side-folding, adjustable LOP stock, so I had to get a little creative. If you are OK with the factory stock, the snap on cheek riser works well. (I actually zeroed the scope with the factory stock, and the riser I linked above from my CETME)
You are on the right track, if you know you want optics, buy a PTR with a welded on rail, and skip the fun of a claw mount.
Obligatory picture: