If she’s becoming an issue for you, I would say look for a daycare and/or summer camp your daughter can go to so this way you have some time to look for a new job and apply to whatever you can. I would say just find anyplace that’s willing to pay enough for you to pay on your air bnb and work there until you find what you’re looking for. Regardless of whether you like the new job or not, It’ll only be temporary until you can find what you really want. That small change can make you feel lighter and less stressed, and you’ll only have to deal with the host to exchange pay for you staying there.
So obviously I don't know the logistics behind the difficulty of you changing job locations. From what I'm reading it sounds like you need to set some firm boundaries with her. Some good examples would be:1)at least 24 hours notice beforehand if you want to change the schedule or location. 2) If possible work on getting a more concrete schedule for your week ahead of time. Think about if this was a more corporate setting. They would require you to give so much notice if you couldn't work and vise versa. Once a schedule is made they would be required to give you at least 24 hours notice. Now to play to the other side. If your day was already allotted to working for her then I can understand her being upset about you wanting the day off over a location change as it sounds like that's were you would be working anyway. Again, this is just my take on these small window of messages.