It's ostensibly an All-Wave 15 superhet, c. 1934, but with differences. For the 2nd detector, it uses a Wunderlich tube rather than a 55.
Rider's All-Wave 15 schematics show a push-button that kicks in a beat-freq oscillator ckt. But my set's push-button engages what I think is a Q-multiplier ckt.
The nameplate does not list a model name, just "Ser. No. B-357."
Of course, Scott radios were claimed to be custom built, so I guess anything is possible.
There are at least seven known versions of the Allwave 15.
One of the early versions utilized Wunderlich tubes. There is even a documented factory modification which explains the replacement/upgrade of the Wunderlich with a 55, the last version.
Actually there are three different tube general configurations.
Any Q multiplier generally would imply other controls to run same. Further, a Q multiplier would not be activated from a momentary contact switch, but rather a spst (minimally) switch to provide continued reception at the increased selectivity.
All known AW15 radios have the BFO. However you may have a radio on which some has freelanced to some degree.