Problems of this nature are notoriously hard to cure because it is hard to re-create when the amp is taken apart for troubleshooting on the amp tech's bench. If the problem cannot be re-created, it's impossible to know if it's fixed or not. From my experience with Beta amps, I would guess that the -15V line has an intermittent connection between the power amp PCB and the preamp PCB. The important clue is the blinking of the Channel Select LEDs. The channel select logic and LED's on the preamp board run off of the -15V supply. The tech could try wiggling things to try to located something that causes the LEDs to blink, but it might not occur unless the amp gets really hot.
Possible causes are:
1) Bad solder connections on either the Power Amp or Preamp PCB's. This could be almost anywhere but most likely on Q11 on the Power Amp board. This transistor runs very hot and that could weaken the solder. That transistor could use a small heat sink but there is very little room on the PCB. It would be best to relocate Q11 (and Q1) off the PCB, attached to, but insulated from the chassis. Not a job your tech wants to do.
2) Probably the most likely cause is a bad connection at the Molex connector where wires plug on to Power Amp PCB. This type of connector is not very reliable. The solder connection to the PCB can become intermittent, the tin plating on the contacts can oxidize and the crimp connection to the wire can become intermittent. The contact with the wire attached should be removed from the housing, the crimp connection should be solderd and the terminal retentoned. Then the contacts should be sprayed with a contact solution to improve conductivity like Caig Deoxit.
Do not attempt these repairs yourself. Print this out and take it to your tech. If the problem cannot be recreated in a short length of time on the tech's bench, have the tech perform #2 above and give the amp back to you (you should pay him for his time) to test at rehearsal. If the amp still exhibits the problem when it gets hot, it needs to go back to the tech for more testing.