The circa 1942 New Yorker I had years back had the same type of sound posts either side BUT I am fairly certain it did not have a neck stick. If it did, it was the short Dobro type BUT I didn't have a suitable way of photographing inside the guitar in those days.
Probably room to add on a Dearmond FHC or Rhythm Chief pickup with the attachment rod that clamps on the strings between the bridge and tailpiece, if this pickup isn't as good as you would hope.
SH, Thanks for the info. If I had your musical skils I would add several pickups. But for me guitars better off seen and not heard. As I added above, the pickup seems to be ok, though being so close to the bridge the vibrations will be weak and bright.
SH...it has a very bright tone as you would expect with the pickup so close to the bridge. But suprisingly I get enormous bass tone from the lower strings. This is using the National model B amp which sounds like a superb amplifier. All in all pretty even approaching horseshoe magnet tone. This is remarkable considering how light the guitar weighs. It can growl depending upon the amp setting.
What is also remarkable is the acoustic tone and the vibrations of the neck and body while strumming. The Duolian style neck with stick has something to do with that, but...
That leads me to the body... After studying some photos, i believe this guitar is built from a similar or same body that was used for the scarce 14 fret Estralita resonator. Probably also will speculate it is kin to the Dobro Electric Spanish guitar Mark Makin shows in his wonderful book. Dont think I will call it an Avalon at this point... Just for completeness, I reviewed Mark Makins serial number list and this guitar falls into 1936.