I googled something like "kansas medicaid waiver child", and goy this site, which looks promising:http://www.srskansas.org/services/HCP-children.htm
From what I've heard from folks in other states, waiver programs can vary quite a bit. We're in CA, and people with developmental disabilities have a pretty good program here. My son has two developmental disabilities, either of which qualifies him automatically for our state's waiver program (Medi-Cal). It's an SSI program, but is not based on parental income or assets. As long as I can find providers who will accept Medi-Cal, I can get virtually all of Gabe's medical and therapy needs met through this program, and it costs us not a penny.
My daughter, on the other hand, has a disability that is strictly physical. Our state program that can help out kids like Michaela has several tiers: if we make under $40,000 per year, we qualify for medical care for her, OT, PT, equipment, etc. If we make over $40,000 a year (this figure is regardless of family size, btw), she qualifies only for free PT, OT, and twice-yearly visits with the physiatrist who prescribes her PT and OT. We can get further financial help if Michaela's medical needs for the year come to at least 20% of our annual income.
I hope Kansas has something that will be of help to you. It's sadly amazing how quickly costs can accumulate, especially if you have a child who is medically fragile or has a lot of equipment needs.
Hope your move goes smoothly!
Joni and kids, incl. Gabriel, 9, w/ autism and Down syn, and Michaela, 11, spinner in purple wheels