NY to Arches National Park

I would suggest that from home you drop down to I-70 at some point before getting to Chicago and taking that across to Colorado. Then..before the traffic of Denver, take 71 south from I-70 to 24 at Limon, CO then to I-25 south to Hwy 160 at Walsenburg. Take 160 west through Pagosa Springs (& stop for a nice morning of soaking in the springs - about 12 concrete, extremely clean pools of varying temps overlooking the river right in town) moving west through Durango and Cortez (tour Mesa Verde Nat'l Park) and pick up 491 taking you into Utah at 191 and north to Moab/Arches Nat'l Park. It's all a very doable drive with the big RV. Have a good trip!