hi , your radio is not 'hot chassis' so no need to worry. See that big old transformer in the back? yup its not ac/dc.
Also, the 6v6 gives it away. On Ac-Dc radios, all the heaters are in series, using weird tubes to such as the 50c5 or 35c5 power tube and /or 35w4 rectifier with some other 12v, 14v, and 19v tubes to equal the 115v line voltage. Your radio uses 6.3v tubes so its not line operated.
5y3 and 6v6gt....sounds like a champ in a radio case to me
would be cool to add a 6sn7 or 12ax7 on a tiny board before the power amp with a switch... cool unsuspecting guitar amp, but thats just me.