Winter Tires? 285? 265?

I just bought a truck with 305-70-16 tires which are great, but I'm concerned they may float on snowy roads. Is it worth spending the money to get 285s or 265s? Isee they will only be about 1-2" more narrow.

Thoughts?

My dad's f-150's werent all that bad to drive with in the snow.. Winter tires or not, you will still spin like no tomorrow if you give it gas at an intersection or wherever..Your best bet would be to put some sand in the box. I can't say from knowledge that yes, buying those tires would help or they wouldn't..I don't exactly know, but my suggestion is to just put sand bags(or something heavy) to weigh the rear end down.