Hello there.
I would be checking all of the tires for snow and ice build up inside and outside of rim. A little snow or ice can make a big vibration. Also, I would have all the tires balanced as the wheel weights may have come of in snow causing vibration. Have the tires checked for out of round, you may have a tire that has a busted belt.
If all of this is okay, the cause may be with the cv axle assemblies. There may be snow built up around axle where they mount to transmission. Verify there is no obstructions or nothing resting against axle, from transmission to wheel. Also check the inner and outer boots for damage. This may lead you to which axle the problem may be. If no problem is evident here, I would be inspecting the actual joint on each axle to verify they are pivoting as designed. They can look okay, but may be binding internally causing a concern.
I would take your vehicle to your tire shop or repair facility and have them inspect all your steering and suspension components. They will know what to look for and find your cause.
Hopefully this is helpful. Thanks and good luck!
Dodge Technician
ASE Certified. Daimler Chrysler certified. Current diesel tech at Dodge dealership. Diesel certified