Long LOP is the PRS Gen 3's biggest drawback to me, tolerable on a small frame but really long on a large frame. Using the carbine tube adapter won't matter, it's the same length once you install the carbine adapter. I think a couple people have tried cutting down the carbine adapter and they gained about 1/2". If you find a Gen 2 since it has a super thin recoil pad it's about 1/2" shorter. When you consider most rifles come in the 13-13.5" LOP range, and shorter LOP's are becoming more and more popular, the PRS Gen 3 is stupid long even at it's fully compressed length. Their webpage lists 14.3-15.7" LOP and I'd say that's pretty close on a small frame AR, on a large frame receiver you can add almost another 1/2" to that.
There are rumors that the butt pad from the PRS Lite fits on the PRS Gen 3, but I've tried contacting Magpul a couple times since it's release and they have been unwilling to sell me one as a part and have said they have no plans to offer it for sale individually. I'd guess just visually that would gain you 3/8" or so.
There's also the LMT DMR stock (556 and 308 versions), they are basically a PRS Gen 3, but allow for adjustment along a Mil-Spec Carbine tube, and have a wider cheek rest, and of course add about $100 on the price tag.