Personally, I'm not aware of any companies that you can commission to do research. Assuming you're talking about commissioning an animal study for ME/CFS, your best option is to talk to someone who is researching ME/CFS. If the researcher is affiliated with a foundation you will cut them a check with a donor restriction. If they are tied up with a university, but not a foundation, they should be able to advise you on what you need to do to fund a study. If you don't mind me asking, what are you thinking about funding?
In ME/CFS experimental treatments discord server an organic chemist from Ukraine said "Generally speaking i can lead on-mouse tests...". We ordered ISRIB and other substances from him, he's definitely legit, you can ask me or mitoMAN for server invite.