go to a gunshop and try the ergonomics of any rifle you might want to buy/afford. assuming, you wont aftermarket re-stock it, in which case mainly irrelevant. hand size - fitting the trigger, and cheek position relative to 'length of pul' on the rifle butt are more important than the weight of the rifle, as long as it is for stalking and not 9 kilos of F Class gimmickry.
Are you expecting to be on the hill, on southern woodlands, in highseats ? Lets presume youre built strongly enough to drag any deer you shoot to the vehicle - thats already stronger than many men.
I would also recommend stainless action and barrel, which would be my recommendations for any new rifle. But dont overlook pre-owned. Most rifles are under used and cheap when being sold on. I think you cant really go wrong with a Tikka, Sako, Sauer or even an RPA. Personally, Id not buy a Browning, Bergara, Savage or Howa, but some like them. Im not interested in higher end Blaser, Heym, Merkel, etc but they are lovely. Ive gone with one make and they are workmanlike but accurate and totally reliable.