The AC voltage supply is specified at 49 volts. The solenoid voltage is specified at 43 VDC. A correction is due as the fuse for the 49VAC is a fast blow 5A not 7.5ASB as a previous post indicates.
48VDC is a common voltage used in the telephone system but not on this Bally Star Trek.
So a power supply of: 80% times X = 5Amps is what you need.
No, 3 amps is not going to do it and 5 amps isn't either.
There isn't a 3/16 amp fuse under the playfield. The only fuse under the playfield is a 1ASB for the flippers.
The 3/16 amp fuse is for the HV on the Solenoid Driver/PS board at a nominal 170VAC to improve display life. Is sufficient power to drive the Nixie display units. If you are eliminating the Solenoid Driver/Power Supply board, then you will need a separate supply for the HV.
Don't forget to route some 43VDC to the MPU -- it will not boot without it.
You will also need 20 amps of 7.3VAC if you eliminate the rectifier board. You have to have this for your lamps. You can go to all LEDs and reduce the current draw. But since is a mirror project you may need to keep the lamps. You also have to have this for the MPU cross-over circuit. It has to be AC for your Lamp Driver to Operate, unless you are going to eliminate the lamp driver with a new design. Pulsed DC might be an alternative, but I haven't looked at that possibility.
As an afterthought, and something to reconsider, the Bally linear Rectifier Board and circuit will outlast computer ATX power supplies. A rebuilt rectifier board with new high current bridge rectifiers, heat sinks, trifurcon connector pins and you will have a very reliable pin component not reliant on a cooling fan.