The finding of this aircraft/pilot for hire interests me. If you type simple search requests into Google, the results don’t lead you to this type of aircraft, and take you to the websites of widely known operators eg netjets. I’m in the UK and using a Uk biased search engine. To find similar aircraft to the incident subject aircraft and crew appears with an online search to be very difficult, I’ve not found one, and I’ve chartered aircraft (professionally) in the past.
NB the above is based on the assumption that a search for a commercial fee paying operation was made. The incident flight may not have been for hire or reward, as whilst charter has been mentioned, the organisation of the flight isn’t yet known
AFAIK. None of my searches turned up a ‘man with a van’ type of offering either.