Looking at this version 351 schematic they're showing 330V rectified DC. Whatever PT that's closest to either should work fine. The Hammond you originally mentioned would be too high though. More like a 117-0-117 or 230ish no CT iron.
EDIT on those numbers - probably more like 270ish no CT or 135-0-135.
630V will be too much. You would be looking at going about 80V higher than 300 or 310V for an unloaded voltage figure used for calculating your PT numbers.
IDEA - To save any miscalculation and hunting for odd voltage PTs, consider using the diodes in a standard full wave configuration. I can't see any advantage to using a bridge rectifier here and the full wave will roughly halve the rectified DC value. Assuming your 630V unloaded figure came from the shown bridge rectifier that's about a 225-0-225 PT you're currently using - sound right? Going to a full wave should give you an unloaded DC of ~ 315V. That will likely end up a little lower than 310 when loaded, but - you can change the 6.8K resistor to a lower value. 300V to the output section is the goal.
To figure what the new resistor value will be - reconnect rectifier to full wave, fire up the circuit and measure the drop across the 6.8K. This will give you a real current draw number for calculating the new resistor.