I'll recommend
WMKV as a source for WWII era music (as well as the whole spectrum 20s thru 50s). Music runs about 12 hrs/day, with news & info spread around the rest of the day.
And one WMKV presenter, the late
Bill Nimmo, served in the African campaign in WWII, and got his start in show biz helping set up Vera Lynn's show for the troops! I had great pleasure serving as his audio engineer when he was in his 90s.