I have two rifles I use for deer, a .243 Winchester 70 and Remington 700 BDL .270
The Winchester has a wood stock. The Rem has a synthetic stock and SS barrel.
Here in PA, the weather can be miserable at times. After years of constant use in the woods, mountains and brush, the stock on the model 70 shows a lot of wear. It's definitely not very pretty anymore but still shoots sub moa.
That was the main reason I bought a rifle with synthetic stock. I can take it anywhere and not worry as much about the finish.
It really depends on your location, upkeep, and personal preference.
Either way, you can't go wrong with a new rifle
