In the past couple months I've driver I-635 across north Dallas pulling my 36' TT twice. No problems and beautiful lanes now that the construction is almost finished.
But I know that road like the back of my hand, know all the exits and the lanes to be in long before an exit / or joining another freeway. I'll be driving 114/I-635/75 north in about a week.
However - AVOID I-35E north of Carrollton - much current construction. Also on the Fort Worth north side - there is much construction on I-35W near Loop 820.
Others have suggested - take US-82 West from New Boston west of Texarkana off I-30. I personally would drive US-82 to Wichita Falls and US-287 from there.
As mentioned US-69 up from Tyler through Greenville to US-82 in Sherman is a very good road/ route for those coming from the south of Louisiana/ East Texas.
US-380 from I-30 at Greenville through McKinney and Denton to US-287 in Decatur looks like a good route on a map.
Mostly it is very good road. But between McKinney and Denton there are a LOT of stoplights. Seems to be a couple new ones every time I drive that route.
(My kids live in Plano and Decatur - getting across northside of DFW is something we do too much.)