If you're looking for ABA therapy, they do conduct home-based therapies. My son has some behavioural issues ( can't sit still ) and speech delay. He has been on ABA for close to 6 months now and I have seen him improve month from month. You can try Autism Recovery Network or Autism Partnership.
However, it is quite normal for children to have meltdowns during the first few sessions. They might feel unsettled by the new environment and the therapist and sometimes it can be simply task avoidance. Hope it helps : )