You may use a car pooling / ride sharing service to find a suitable ride. There are rides available between Budapest and Nyíregyháza regularly, but you may perhaps find a ride directly to Tokaj. However please keep in mind that it might be unsecure to book a ride for a long time ahead.
Don't forget to inform the driver about your luggages and instrument upon registration, as this might effect the amount to be paid.
Another possibility is to travel with other participants of CSI. CSI participants arriving by car may offer free seats in the special Facebook group created for participants of CSI 2022.
PLEASE NOTE: in case you decide to take the Crescendo Bus, the booking and payment deadline is 30 June.