I ordered the parts that I'll need to rework the chassis, install an on/off switch, build a decent tone stack, add volume control and a new Jensen speaker. This will be my project over Christmas break. I'll figure out the circuit before then, and plan to have at least a working amplifier before the new year. Haven't decided what I am going to do about a cabinet just yet, the chassis I have isn't pretty. Cabinet will come later though... First thing's first.
Here is the existing schematic.

What it doesn't show is the external tone control and remote power switch/turntable power. Those were handled through a cable that plugs into the side of the chassis. A little bit of circuit tracing will show where that lives. I intend to build a Baxandall passive tone stack and start playing with values to fine tune the sound once I get it up and running.
Passive Baxandall
I'm going to stick with the existing PP 6V6 circuit for now. I don't see any reason to gut it and start over yet. Once I get this going, maybe I'll build a single ended amp like the Alamo you mention Shuie or a Fender Champ for a different sound.