NW Indiana to Albuquerque to Las Cruces to Tucson

Finding your way down to I-10 might be your best bet to avoid the higher elevations in NM and AZ if you are concerned about them.
However, at that time of the year any route could be bad.....or good.
I would check the weather as you go and adjust your route accordingly.
I travel frequently from AZ to Ohio and that is what I do.

The interstates are always kept pretty clean of snow. One time in Utah I got caught in a snow storm and just stayed in a truck stop an extra day.