Hi @Unknow
It sounds like you're really settled on what you need, which is great. But I can also hear that there are some real barriers to accessing that. You haven't left much detail on things like, the age of your kids so I won't be able to specify or give advice on options. But...I could try or at least direct you to some phone lines that could help guide you on what seems do-able for you.
Some mental health professionals may have some other options or are flexible in having young children attend appointments. Reaching out to them or their clinics directly might be good as they may get this type of query often. If your child is very young, perhaps giving PANDA a call might help you on - they also provide phone support. If your children are maybe 3-5, or don't attend school yet, perhaps calling Parentline in your state would help. The WA contact number can be found here
I hope this might at least help you make a start on getting some help that you want? I hope also that some other members who are parents could chime in on how they manage their appointments with young kids.... best of luck. I hope you are able to take care of yourself and reach out to other services as well...