I-10 to LaFayette I-49 to Shreveport I-20....
to and past Dallas(this is well south of Dallas) to I-35w/US287...
US287 to Limon Co. and I-70...
OK, here is my variation on this route. It is the way I would go:
I would turn off I-20 onto US 69 near Tyler. There is a Cracker Barrel at this intersection. Also nearby is Tyler State Park for a great overnight stop.
US 69 all the way to Sherman, Texas where I would take US 82 west to US 287 at Henrietta, Texas (near Wichtia Falls). At Dumas, Texas I would take US 87 west to Raton, NM, where I would join I-25 N to Denver.
Raton Pass is a good introduction to driving mountain passes in Colorado. I consider it an easy pass. There is a very nice RV park at the summit: Cedar Rail RV Park.
I note on more careful reading that BB-TX has already mentioned some of the same route I suggest:
From Biloxi I-10 to I-49 using I-12 to bypass New Orleans. I-49 up to I-20, then west on I-20 to US 69 at Lindale/Tyler, TX. North on US 69 to US 82, then west to I-35 at Gainsville, TX. US 69 and 82 are good highways, mostly rural, with a few small towns, but you can make pretty good time.
I would still prefer the Wichita Falls-Amarillo-Raton route myself to the Oklahoma route noted by BB-TX, but that is just my personal choice.