Are you sure you didn’t make a mistake on your app that made the computer reject it? Medical or passport date or something? I have a hard time believing any regional except maybe 9E or RAH would decline to interview any ATP qualified pilot right now.
Also, keep in mind that no matter what airline you go to, you’ll be spending several months straight in training with little or no opportunity to go home. Not sure leaving your wife alone with a brand new baby for 2 months is the best idea.
As far as SkyWest goes, IAH is shrinking and very well may be going away. PHX is pretty senior. DEN you can get a couple months after training, but with only two flights, you’ll probably have to commute the day before/after quite a bit. Upgrades in DEN are in the 4+ year range.