I go from Dayton to Raton every year. sometimes twice
First leg, 10 or 11 hours, 70W to 156S (Ellsworth, KS) overnight in the Walmart parking lot at Great Bend KS, (Free, well lit and not crowded, and lots of places to eat, close. fuel up )
Second leg, Follow 56 through Dodge City to Springer, NM, 25S to Santa Fe
From Indy about 22 hours total driving time
Try to time it so you miss the rush in St Louis and KC. Dodge City has some great places for Mexican food and tank up before you cross the Comanche grasslands, the farm co-ops along 56 usually have good prices on gas and bio-diesel.