Muttonboon, sometimes acceptance is the first step.
I struggled for so long when abroad with a newborn and toddler. Then I accepted it. I accepted that I lived in a country where I had no properly 'old' friends or close family. That of course I was bound to feel trapped when it was constantly at least 30 degrees with what felt like 100% humidity so going out for big parts of the day with a tiny baby was impractical.
Locals would spend most of their time with family. Weekends felt like they would go on forever.
I don't know what kind of country you are in, developed, underdeveloped, hot, cold ...
But if there is any way you can get some sort of childcare just do it, without guilt. I started off with a nanny who would come over. Since I had nowhere to go I would literally just drive to a cafe with a book or see a friend for a few hours. Then I found a voluntary job.
Then I got super lucky and got a part time admin job and found a lovely local daycare.
But I would def recommend trying to find a solution so that you are not always on your own with the children at home for ages. It's good for them to have a change from you too.
Now I'm in the UK, can barely afford to get to the end of them month and our tiny flat is a fraction of our big expat house. But in many ways life is so much easier.
Yes I work and rush around doing nursery runs, shopping, straight home to clean and cook.
But I also have options and friends etc...
Don't get caught up in the expat guilt (ie- I have a lovely house and plenty of spare money so have nothing to whinge about). It is really really hard to be abroad sometimes.
Accepting that and feeling that actually you are doing quite well considering circumstances will go a long way to making you feel better.
I spent two years feeling miserable and overwhelmed, as well as guilty for not enjoying this 'amazing' expat experience. Now I look back and think blimey, actually I did really well considering how isolated I was.
I'm sure you doing a great job. All that time you are spending with your children will pay off in the end, even if it doesn't feel like it now!
Are there enough expat families to start a little rotational playgroup? Taking it in turn to host?