Bluetooth input through RCA phono plug in 1950s radios

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I want to transmit a web-based oldies radio station (Radio Dismuke, for example) from my computer to a 1950s Crosley dashboard radio using a bluetooth receiver plugged into the RCA 'phono' jack in the back panel of the radio. Does anyone have any experience with this? If so, what transmitter do you use? I've seen everything from $10 dongles to $80 'long range' transmitters - I want something that works, but don't want to spend more than I have to! I already can transmit from my computer on AM frequency using one of those 'talking house' transmitters used by real estate companies, but the quality is pretty bad. Bluetooth should be better quality, I would think. Comments and suggestions appreciated.