Under no circumstances would I defend a parent drinking alone, five beers into it, as the sole parent providing supervision to a child. But, skip all that.
It's still not defensible and in fact he gives her less of a chance of survival on multiple fronts. Even 100% sober, and if this is truly life or death, his best choice is to call 911 to get emergency responders on the scene.
The EMT response time to his house providing immediate epinephrine aid is going to be far faster than him navigating traffic to get to a hospital to process thru an ER to get a shot of epinephrine. In the meantime, if she needs CPR, he will have a capable team in his house or on the way vs still navigating his way to the hospital with a suffocating daughter in the passenger seat.