'82 Westy

I need two new tires and would appreciate experienced suggestions.  I have
two needs which may go beyond average driving (but then again maybe not, for
this group).

Snow--I live in western Colorado and it snows several times a year here in
the valleys.  I may even need to cross the passes in winter on rare
occasions

Rock roads--In summer I love to camp as far up the forest service roads as
my NON-4WD Westy can take me.  I would like the tires not to be the weak
link in the chain.

Can any tire meet both of those needs.  Should I just get chains and resign
myself to that miserable task of putting them on and taking them off, always
in the very worst of weather?

Thanks for any help.

Paul