Hello Looseworld, welcome to Livestream.
Your proposed setup doesn't seem very effective for the following reasons:
-The Zoom cameras you intend to use are not built for streaming. You would be much better off with decent quality webcams - from Logitech, for example. Perhaps you could dip into your budget, as this will really simplify things.
-Mobile internet is problematic for live streaming. I highly recommend streaming only from a wired connection, if possible; Livestream recommends a minimum upload bandwidth of 700Kbps. You can test your speed at speedtest.net. A note on mobile internet: it's not nearly as reliable as a dedicated line, and also other people in your area may be pulling from your bandwidth, despite any speed test results.
-Every camera you use will need to be connected directly to a computer if you plan on streaming live.