I agree about rifle weight.
A mate of mine has a Ruger M77 in .220 Swift and its a lovely rifle, super accurate but it is heavy. By his own admission he's said its fine down south when you might just be sat in a high seat for a few hours but try lugging it up a hillside in Scotland and you'll soon be wishing it was lighter.
I have also handled other peoples varmint barreled rifles in the past - I've had people saying "Yeah they're super accurate and take ages to heat up..." and yes of course they are. They are whacking thick heavy barrels designed for being accurate at distance (2-400m) when you're shooting coyotes, foxes and the like from a high seat, and are probably going to be getting a number of shots off in quick succession and therefore want a barrel that doesnt heat up.
The reality for stalking rifles is you are probably only going to be taking 1-2 shots at a time with them, probably at under 150y and at a bigger target, and you'll probably be lugging them around for hours before you take that shot, so your requirements are different.
Ultimately you want a rifle that fits you well in a caliber that is comfortable to shoot, that you can get ammo for and that you can shoot accurately.
I'd recommend going up to see Steve Beaty at Ivythorn Sporting - He is a top bloke and wont mess you around, he is very knowledgable, has a great selection of kit, excellent customer service and a range on site where you can try before you buy. Whats not to like?