DJI goggles are special beast. I doubt they work ith anything but DJI products. The only open interface appears to be HDMI. So any 5.8Ghz FPV receiver that can feed out HDMI should do. this one for example:
Vuzix | iWear® 5.8 GHz Diversity FPV Receiver - Built in DVR and A/V to HDMI Conversion
Or if you have an android phone with dedicated HDMI output there are 5.8Ghz that feed into the phone (FPV in via USB, HDMI out via dedicated HDMI).
The Sony RX100 is over 200gr, that would kill flight performance even for a Bebop 2. You'd need a larger drone for this to work, and even that would suffer from overloading.
I have a Canon Powershot which I can control remotely. Range is maybe 15m, compared to 300m control range for the Bebop (just using the phone, way more with extender). So remotely controlling the camera will severly limit your range, and lag is way beyond what can work for FPV.
FPV may be allowed depending on where you live / fly. Over here (Germany) its legal only with a second person within line of sight, or (which is one reason I have a
Tello) using a drone under 250gr and flying under 30m height. Personally I fell FPV is very easy to fly as long as the video feed is dependable (or RTH works reliably). Actually I never lost / crashed / dropped my Bebops while in FPV. Landing is of course always a LOS activity unless you know exacty where you are and what you do.
Differences between the Bebop models:
Bebop 1 is the original smaller drone which has short flight times, around 10 minutes I think. Also trouble with GPS reliability causing flyaways, motors shutting down midflight, etc. Highly not recommended. Bought one at Amazon years ago and returned it twice after it dropped out of the sky for no reason.
Bebop 2 is larger, much faster, can do full 23minutes on stock battery, or just under 30min on upsized aftermarket batteries. Best bang for the buck. Starting at 160 Euro on ebay, good ones closer to 200 Euro. New sometimes around 250 Euro.
Bebop 2 FPV is the same, bundled with a remote skycontroller and simple VR goggles for your phone. Personally I prefer a good range extender and the Parrot flypad (excellent BT controller, sensitivity and precision on par with the skycontroller but more compact and modular)
Bebop 2 Power is a model with different batteries, providing 0 miuntes on stock batteries. I think it uses higher voltages, different chargers, and main boards. I'd rather get an extended battery for the standard B2
Cheers!