This not a typical speaker setup with the field in parallel with the power supply. Assuming 250V at 0.035A that would be about 7000 ohms as opposed to a 1000 ohms for a series field setup. Looks like a good candidate for a permanent magnet speaker.
For audio output xformer, tube manual says 3900 ohms load resistance (impedance) for a 45 tube at 250V plate voltage. For your push-pull 45 setup, look for 8K primary impedance with a center tap with 5 watt rating. Radiodaze.com or oldradioparts.com should have a suitable replacemnet. The impedance is not that critical. The speaker impedance is likely 2 to 4 ohms.
http://www.nostalgiaair.org/Resources/977/M0039977.htm