Is it an option to request services through your local school district? In mine homeschoolers are eligible for evaluations and services free of charge.
Honestly, only 20-30 minutes per day is probably not what he needs. ITU that it's difficult to give more time than that 1:1 when you're homeschooling six children and juggling household. One of my friends who had 5 children ended up putting several of her younger children in public school so that she could spend enough time with her middle schooler who had dyslexia/learning special needs and give him several hours of 1:1 focused time.
This is a site for homeschoolers:
https://homeschoolingwithdyslexia.com/