I mean I think we're capped on what we can achieve instability wise regardless. Maybe stronger heating yields a couple hundred more J of CAPE. But if we can get temps to climb into the mid or even upper 60's with dews into the mid 50's under 7-7.5 C/KM mlvl lapse rates, given the shear parameters and shortwave forcing, that is more then enough to keep a line into western sections. This will probably weaken with eastward extent some b/c instability will wane with loss of heating, but dynamics should keep an isolated damaging wind gust threat farther east.