I really doubt it has anything at all to do with the flyback transformer, that is on the secondary side of the power supply. Look for film capacitors between live and ground near the input power connector.
No need to fear the CRT. The zap from that feels like a strong static electricity shock on a dry winter day. It doesn't feel good and should not be handled carelessly, but it's very unlikely to kill you. Also unless you remove the anode connection from the tube, all of the HV circuit is well insulated and fairly safe to handle. More dangerous is the electrolytic bulk filter capacitor in the power supply, these are charged to "only" 160 or 330V but pack a LOT more energy than the capacitance in a CRT. Either way unplug the thing and let it sit for a few minutes, most everything will discharge itself. For extra caution, take a cliplead and touch it across the capacitors you want to discharge.
No need to fear the CRT. The zap from that feels like a strong static electricity shock on a dry winter day. It doesn't feel good and should not be handled carelessly, but it's very unlikely to kill you. Also unless you remove the anode connection from the tube, all of the HV circuit is well insulated and fairly safe to handle. More dangerous is the electrolytic bulk filter capacitor in the power supply, these are charged to "only" 160 or 330V but pack a LOT more energy than the capacitance in a CRT. Either way unplug the thing and let it sit for a few minutes, most everything will discharge itself. For extra caution, take a cliplead and touch it across the capacitors you want to discharge.