Wild man .... Tikka is good bang for the buck but starting out with a 300 wm lite... You won't stay and shoot very long...
I would know cause I am all about the 300 wm and have a few light weight but then again those are hunting rifles... You carry them all day and make one shot. Recoil is no big deal in that situation....
For plinking I would go with something less... If your on a real tight budget ... Just a simple 308 will do the trick for $$ savings ... You can find some good deals here on hide if you watch for them, plus good deals on bulk ammo if you don't load.
Also keep in mind your budget for glass ... No fun to go shoot with crappy glass.
Good luck