[Arran]

For a start, the layout, and chassis design does not look like an RCA model, also RCA wasn't really in the habit of mixing tube types with different bases. Given the electric pushbuttons that would make the set 1938 or newer, more likely 1939-40 or newer, which if it were an RCA set would mean it would have an RCA jack and not a pair of pin jacks, and more then likely included a magic eye tube. I'm not sure when the RCA jack debut but it may have been around 1937, the 1935 and earlier models had a pair of screw terminals, none used pin jacks like an old set of headphones.
I do not think that this was a kit, if it were then why would it have "Tested by #11" stamped on the back apron? It looks like something made by one of the Chicago independents, Belmont, Continental Radio and Television (Admiral), Sentinel (though the chassis doesn't like like one of theirs). It's not a Crosley, I don't think it's an Arvin, or a Detrola. It could have been made by Colonial, which was in New York state, they used to make stuff for Sears.
Regards
Arran