You show the BYV26E, but the BYV26G would be a better choice. The PIV spec is higher, and they all handle 1A.
I have a problem with the Backup Diode mod. The backup diodes are to back up the tube rectifier if it fails. The meaning of 'backup'. They are in series with the tube diode. If the tube rectifier fails open, the backup diodes will do nothing. If the tube rectifier fails short, the backup diodes are there to save the day by carrying the amplifier's full load. However.... A single diode shown in the Backup Diode mod does not have sufficient PIV rating to handle the full load of the amplifier.
In the words of Merlin Blencowe:
"A 1N4007 is rated for 1000V. This corresponds to an AC voltage of 1000V/2.8 = 357Vrms. Knock off 10% to allow for variation in mains voltage, plus another 10% for transformer regulation and we are left with about 290Vrms. In other words, we shouldn't use the 1N4007 with anything more than a 290-0-290V transformer."
No one would use a single diode to build an amplifier with solid state rectifiers using a transformer with 600VCT or greater. Use two in series, some use three. This is the case with a failed (open) tube rectifier using a single backup diode. Maybe it's better than nothing, on a wing and a prayer. We hope that it will last until you notice the tube rectifier failed and can replace it.