Please…your opinion on tires

I have a 2005 sportsman with a 2 inch lift and I love the looks of a big fat aggressive tire on an atv, but price is a concern as well. I know there are threads all over the forum about which tire people prefer. But I would like to hear suggestions for my applications. I am a baseball coach and I use my sportsman to drag the field, plow snow, and trail riding…(when the wife allows). I had a 1999 honda foreman with some cheap Swamp Witch tires. They were still in pretty good shape when sold with over 1300 miles. I know I will have to give and take in this decision of which tire. But here are my concerns…Since I have a 2 inch lift what is the biggest tire I can put on? best traction for plowing snow? not tearing up my baseball field, and a well mannered trail tire, and life expectancy? Any suggestions are greatly appreciated!

Please…your opinion on tires

I have a 2005 sportsman with a 2 inch lift and I love the looks of a big fat aggressive tire on an atv, but price is a concern as well. I know there are threads all over the forum about which tire people prefer. But I would like to hear suggestions for my applications. I am a baseball coach and I use my sportsman to drag the field, plow snow, and trail riding…(when the wife allows). I had a 1999 honda foreman with some cheap Swamp Witch tires. They were still in pretty good shape when sold with over 1300 miles. I know I will have to give and take in this decision of which tire. But here are my concerns…Since I have a 2 inch lift what is the biggest tire I can put on? best traction for plowing snow? not tearing up my baseball field, and a well mannered trail tire, and life expectancy? Any suggestions are greatly appreciated!