The way to do it would be to sidestep Airio and run Nodejs to connect to the same UDP stream using something like dgram, which you can do from your own web-server.
You can can then pull the applicable data from the UDP packets and use a React server front-end framework to display a user interface and the data, or you can run an express server and socket.io using vue.js or Angular to render the live socket.io data for the front-end.
All of these things are npm packages...
Note: This has all been relayed from my workmate, who knows way more about this stuff than me, so while I can't give you more detail than this, it does sound like what you want to do is totally plausible