Mine was a Rem 700 in .270 with a Kahles 2.5-10X50 scope. That combination took the brunt of quite a few falls and never missed a beat or required rezeroing. The barrel on that 270 was eventually shot out. I still use the same calibre and scope but the rifle is now a Steyr Pro Hunter. I now use 140grain bullets instead of the 130grn pills.

If you want to save weight then look at the Tikka T3 lite in 308 or 7-08. This combination sees a lot of use in NZ.

If I was getting a rifle just for Thar and Chamois I would look at the Browning X-Bolt in 270, 280, 7X57, 7X64, 7-08, 308. Or a Steyr Scout in 7-8 or 308. You don't need magnums but a 270, 7mm, 300 in SAUM or WSM will work and can be had in light rifles.

Scopes, well I would go Kahles, Zeiss, Swaro, S&B, Nightforce. Not the cheaper options from these companies but at least the mid to upper range. Reasons. I find their clarity to be better than the Leopold's etc. I also find the mid range to be as durable and the upper price range to be more durable then Leopolds etc.

2.5-10X50 well the 50m objective lens is really to big, I think. 42/44 mm would be the largest objective lens IMHO.

Why do I have the 50mm lens. First Kahles I bought and used, sold on it. Check weld on the Rem 700 was never as solid as I like but with the Pro Hunter stock...well it is like the two were made for each other, yet strangely a small scope on it with lower rings does not seem uncomfortable or hard to use.