I think you should forget it,I think the minimum you need in 2wd is a 1 ton dual wheels,and then put at least 3000 lbs of ballast,the more the better.You dont have the carrying capacity to even carry enough ballast to get traction.The best you could do is about 3-4" of dry snow only,wet snow or hills,forget it,downhill spots,you'd never be able to back out.When I have 3000 lbs in my 2500+ the 400 lb V-box,I still need 4wd a lot of times.
We have one 2wd drive that we use with and 8.5 plow
But it is a 1 ton dually with pretty decent tires can be tricky at times use on only big flat lots
I don't think I would try without dual wheels and a lot of weight
Before the 1960's if you did not own a dodge powerwagon or a jeep pick-up or cj, people had no choice if thay had a ford or gm to put chains on and a lot of waight to plow with these trucks. Those trucks were very heavy too. The new 2wd trucks can't push a shovel never mind a plow with out snow.