so the car tire might not work...I'm guessing the DR has an 18" rear rim and is super narrow. Most 18" car tires are for vehicles that have big wheels, which will be wider
the issue I had figuring out was a single setup for all the terrain you'd traverse if your bike is plated - anything with road-worthy studs weren't as good in deep snow vs. true snow studs or ice studs on ice
if you were trail riding (some ice) and you got some serious snow, get a fresh set of tires with thick kbos and stud up with grip studs:
only really applicable if you're riding out of your backyard or carrying on a trailer
expect to pay $100+ for a pack of studs
if you're just going to ride ice ponds (the studs must never see pavement), then you want ice studs screwed into the knobs
the best way is to cut out a sport bike tire as a liner, and get the longest screws you can find, then drill through the knob into the liner
there is also the option of buying pre-studded tires, but they will become expensive. You can actually get some with a low profile stud similar to those found on cars - these are pavement friendly
then lastly, you can just get some hex head screws for $20 at home depot and throw them into any tire you have
Personally, I just took dirt bikes out in the backyard in the snow with whatever knobby tires I had...fresh powder is the best