There will not be a "direct to your PC" connection adaptor, because that is just simply not what that unit is designed to do. It's been more than a minute, but my memory tells me that radios of that (ahem) vintage put external audio out on pin 2 on the side connector. I'd try to find an old speaker mic and lop the business end off it and use it for its connector... I'm not sure what kind of technical aptitude you have...You could also try to hunt down any of the earpiece adaptors for the Jedi radios and tap off that....
You're going to run a portable in a charger to feed broadcastify? I'd recommend a battery eliminator if you decide to do this.
I'd also get an external antenna up, that stock antenna would be in whatever room you have your power supply, charger, radio and computer and could pick up local interference, making the broadcastify stream sound poor...which wouldn't really benefit anyone.
I'm all for repurposing antiques to provide things, but this idea may be fraught with pitfalls you might not want to be jumping over. Anything worth doing, is worth doing right...this...iunno. If it was a mobile unit, I'd be cheering you on. They're designed to be statically mounted with hardwire connection points, they can usually put out flat/filtered audio, a portable is designed to be bounced around on a hip.