This is going to be the last thing you want to hear but I'm going to say it as it needs saying, echoing by all of us on here.
He's an alcoholic who got so drunk he can't remember strangling you.
If this is the case, how can he assure you it won't happen again.
It's happened within a 6 mth relationship (supposedly the honeymoon period)
The fact that he held you by the throat is a massive red flag. Criminal psychologists view this as one of the most abusive ways to attack someone. It wasn't a brisk shove as he staggered past you.
Many abusers appear 'perfect' at the start of a relationship. Flowers, meals, gifts, incredibly attentive, many texts, calls, spending all their free time with you.
Once they've shown their true colours, they are always so desperately sorry. A decent chap would be do ashamed, and scared of his actions, he'd walk away from you and your children out of love and consideration and because he'd know he could never assure you he'd never do it again. Abusers always cling on to you. Making massive gestures, promises.
I would not have him back ever.
A decent guy would leave you and go away and get HIMSELF some anger management, therapy and alcohol treatment. Without you being the prize at the end.
He's an alcoholic for a reason ( no offence to alcoholics). But mostly the drinking stems from an emotional issue or trauma etc. If he'd done the courses and therapies he would know absolutely no alcohol, ( not, well I've done really well for 2 years so I can get hammered now).