Mud tires in snow?

How well do they do? I have 31s on my ZR2 and wondering if I should buy some new road tires for the winter...

Ohio winters can get a little harsh with the snow sometimes.  

They're great in snow, just not on ice. Most mud tires have very little sipping if any at all, what tire you running? Maybe a good all terain tire will do you better. BFGoodrich makes a great A/T, also Pro-Comp.  
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Mud tires are a poor choice for Ohio winters were roads tend to be icy at times. You want a good all season tire. BTW I have been plowing snow in Ohio area for over 20 years so I know its weather well.  

I'm running the stock 31x10.5s on my ZR2, barely any miles on them because a different tire was used before.

These if you don't know what Courser M/Ts are like
http://www.mastercrafttires.com/html/products/tires_lighttruck.aspx?page=mastercraft_tires_light_truck_courser_MT&search=bySize&twtd=31&artw=10.5&rd=15

And on ice... I'll probably be sliding no matter what tire I have.

@ Snow; were you plowing last year during that class 2 emergency? Haha... I was driving in that... with a little Mercury Capri XR2 Turbo. MAN that was bad!  

I grew up in Virginia and we ran mud tires all the time in the winter and they performed great except on the ice, but in deep snow they were great. That's just my experaince, go with Sno's advice on this one, a Virginia winter is no where close to one them Ohio snowstorms.  
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I run studded 10 ply traction grip tires that are bias plied too. It is a tank in winter and does well even on glare ice with no white knuckle feelings. I have tied a lot of tires over the years and these rule in winter. Next up is a all season radial with lots of tread sipes for good performance on ice. Big mud cleat are real bad on ice, especially wet ice. I have also found bias ply tire dig in better in snow because the stiff sidewall of them forces cleats on edge to dig in better. I can plow a long lane and pull out in yard or field in deep snow if need be to turn around without worry and never even spin a tire doing it. No other tire I used in years past ever gave me that kind of confidence.  

Alright, I'm looking at BFG's T/A KO's, since they're servere weather rated for snow and ice. Seems to be the solid choice as of now.

What is the name of the tires you are using?  

They are made by Dayton Tire and they are called Trans Trac LT's. Mine are on 16.5 wheels (9.50 x16.5) They make them for old 16 inch split rims too. (750x16 and they are about 32 inches) I am not sure if they are usable on regular 16 inch truck wheels. I have seen them in 15 inch 700x15 too (about 30 inches) I have been using this tire on different vehicles for almost 30 years now. Not a got tire for quiet operation or best MPG or smooth ride but they are tuff as nails and I have yet to damage one to failure even with severe sidewall impacts and trauma. They are studdable too with a number 16 stud. I run regular all season radial truck tires during the warmer months (I have extra rims)  

Would you recommend that tire over the BFG?

Edit: Unfortunately I don't think the Daytons will fit on my ZR2  

Lthlinjction:
Would you recommend that tire over the BFG?

Edit: Unfortunately I don't think the Daytons will fit on my ZR2

For hard core winter performance yes, for average "Joe" winter performance, no. As a business I have to give myself every edge possible because I go out in the worst possible conditions at times. The average user can sit it out if need be while I cannot. Still, stay away for mud tires if you want best chance of staying out of ditch in winter.