Kae et al above: You can do this. I was an independent ten years ago (and a foreigner to boot!) and was successful in my humble way.
You can do the Medicaid (Medi-Cal) paperwork. Just handle it as if it were a complex patient. Assess and set priorities for interventions and do these one at a time. Nurses are wonderful at complex tasks because we live our working lives doing just that.
As for finding clients this is where you need all those really creative nursing skills to come to your aid. You know how we all improvise when there is not the exact piece of equipment we need - just use this skill.
Agencies: Yes Kae, many children get their care thru agencies, but most kids do not get the amount of hours Medicaid allows because the agencies can't staff that much. Some kids don't get any nursing hours because there is no agency willing to take them on and the parents do not know what to do next.
My ideas for finding the clients: Contact the Regional Center (you can actually do some hours for them while finding your Medicaid client). Make an ally of the nurse at the Regional Center and she will want to help you and others fill the care needs for these kids.
Contact discharge planners at the nearest children's hospital or unit and talk with them. This may take a while, but quality networking is the way here.
Try contacting one of the web based sites where chronically sick people talk with each other and post so their friends know what is going on. I only know of caringbridge.com, but there must be others. Ask for help. Try talking with a mother of a child who gets nursing thru an agency. She may know of others.
Question every regulation you read; many can be 'accommodated' by an independent RN. The rules (in CA) say we can only do private duty Medi-Cal when an agency is unable to meet the needs. It's amazing how often this can happen when the family is 'high profile' (PIAs who can be wonderful to work with if you are 'their nurse') etc.
Try a discrete, quality advertisement in the LOCAL newpaper in the better class areas. I know one woman without any nursing qualification who has kept herself into her 60s with word-of-mouth referrals in this type of work. She just gets trained for each child as the parents did. She has a waiting list and impeccable references.
Let's keep brainstorming until all you quality nurses have empowered yourselves.
PM me if you wish for my small document on getting started with Medi-Cal in CA. (Need to find the client first).