Answer from PJ on the old forum:
The Quickie is designed as a preamp; we just tacked the Speco transformer onto the output to drive headphones. Power should be 10 or 15mW - less than the 50mW normally specified for headphones, but close enough for many high-sensitivity phones. Understand that my proof-of-concept prototype was turned into a product before I had a chance to do much in the way of measurement, so all specs are - ummm - speculative at this point!
Decent performance will be obtained with 150 to 600 ohms using the "10W" tap on the transformer, or 3 to 12 ohms on the "8 ohm" tap. There are no intermediate taps, though I hope eventually to have a better headphone transformer made which will be usable with this thing as well. Note that 10mW is 20dB down from one watt, so you'd need 122dB/m/w sensitive speakers to get true hifi loudness. It might drive 114dB horns to listenable levels though.
Each tube has its own D cell for filament power. The tubes were designed for carbon/zinc dry cells, so they will probably operate acceptably with 1.2v from NiCd or NiMH cells. Haven't tried it though. IMHO this thing provides a great platform for experimenting with power supply designs, even including solar power!
You can get more output by increasing the plate voltage, up to the 67.5v maximum specified for the screen. This will increase current consumption as well as increasing the voltage enough that you'll want to keep tiny fingers away. I'd suggest a bunch of AA cells (up to 45 of them) since they are particularly cheap in quantity. However, I don't think the Speco OPT can take more than a couple mA of DC current - you'd need a plate choke and parafeed output. Might be an application for the surplussed iron from a SEX upgrade though.