Like rdhetrick, I also live on the north side of the Dallas area and drive the area often. Like him, I would stay on I-20 around the south side of DFW to I-635 on the east side. Then I-635 north to I-30 and then east. I would not go on I-30 thru downtown Ft Worth and downtown Dallas.
Non interstates make for less traffic, but there is really no easy way to take lesser traveled highways for the route you want without taking some farm to market roads. Even though those roads are mostly good although often narrow, I would still stay with the interstates and go mid day.