I don't think either staying OR leaving is a bad idea, and I respect that you're weighing your choices: single parenting is very hard, especially with little to no money, and sometimes having a non-participating partner with the extra paycheck really is the better choice, at least short term. Then again, verbal abuse IS abuse, and you deserve better. I'm glad you have gotten past the stage where you're hoping and waiting for him to change, because it's very likely not going to. In the long term, leaving really is probably the only good option. But you have to strategize for it very carefully, as you are doing.
But I do actually have a suggestion for you. Before you actually walk out, take a two week (or as long as you possibly can) vacation with the kids to go see your family and friends back home across country. This will serve a dual purpose: reconnecting you with family and friends who know and support you, and giving your beloved spouse a taste of two weeks without cook, maid, and personal assistant.
If there's anything left of your marriage to save, you'll know it by the time you get back, both by being out from under the constant cloud as well as any (unlikely) change in his behavior when you get back. Your decision to either stay or go will get much more clarity from being out from under it, you probably need the break very badly anyway, and if it appeals to you, use the trip to network a bit and see if it's a place you'd like to move back to, checking out any work opportunities and exploring what childcare your kids might need (or even receive from family).
It would be cheaper than a regular vacation if you can stay with family/friends, but even if it's not -- or you would rather go elsewhere (like somewhere your family ISN'T, which I also understand) -- leave for two weeks before you make up your mind one way or the other. It's a way to speed up getting the clarity you will need for either choice, and getting away for a little while seems like something you desperately need to do anyway.
I wish you well.