I think cold ridging will hold firm tomorrow (Wednesday) in the Panhandles and western Oklahoma, even as moisture and heat try to return northwest in response to the approaching upper low. This will cause a warm front to sharpen up during the day somewhere near a Midland-Ardmore line. As the LLJ strengthens during the day, isentropic ascent will set up over the warm frontal surface and re-inforce the boundary with stratus and precipitation on the cold side over west Texas and western Oklahoma.
However, as the day wears on and deep forcing increases over the warm sector, thunderstorms will likely develop along the sharpening boundary. A Bunkers storm motion estimate for the SJT area suggests right-moving storms will have a motion out of about 235 degrees at 30 knots, which would carry them along the warm front or even slightly into the warm sector. If that happens, supercells may threaten the D/FW metroplex and surrounding areas by dark. Low level shear is still not progged to be incredibly strong, at least until after dark, so the threat for widespread/significant tornadoes doesn't look too high during the daylight hours.
The failure mode would be if the warm front got stuck in an east-west orientation, forcing storms into the cold air too quickly, and/or if the upper winds backed too strongly forcing the same result. The best hope for chasers is for the warm front to lift quickly into eastern Oklahoma, into a more north-south orientation, and for the low to not dig/eject too quickly, keeping winds aloft more veered.
As for which day is better: storms moving at 30 kts in north central Texas Wednesday currently look better for chasers than the possiblity of storms moving at 50 kts in southeast Oklahoma and western Arkansas on Thursday. Plus, Thursday has the potential to be a squall line setup with more unidirecitional shear and stronger forcing.