Agree with fhotoace and keerock. Lets see what Nikon has to say. Link to the manual:
http://cdn-10.nikon-cdn.com/pdf/manuals/kie88335f7869dfuejdl=-cww2/D3100_EN.pdf
Page 37 starts the section on Live View.
Page 42 talks about overheating and auto shutdown to protect the camera from damage during prolonged Live View use. Similar information is presented on page 48 related to capturing movies. If you are willing to damage your camera so it can't be used at all, then Magic Lantern may do what you want (and void the camera's warranty).
Your D3100 was designed for still image capture, hence these known, published issues. If you need a video capture device with dSLR qualities, then you selected the wrong tool for the job. The Sony NEX-VG series, NEX-EA50 series, Black Magic Designs Cinema Cam and Canon C100/C300/C500 cams are essentially dSLRs designed to capture video and don't have these issues. But they are not "broadcast" cameras either - they are camcorders. This does not mean your camera can't get good video - it can, but under very limited conditions. It is not a camcorder and not a "broadcast camera".
For broadcast-grade, you'll want a camera designed for that... Most of them have no onboard storage because the video signal is sent to a console (video switcher) and recorded on a server. That way multiple cameras can be used and cuts to the different camera happen, but if something happens that needs a different camera angle, that video is readily accessible. Personally, I like the remote PTZ cams from Sony
https://pro.sony.com/bbsc/ssr/cat-broadcastcameras/cat-broadcastcamerapantiltzoom/
You will also need a bunch of other supporting equipment for PTZ control and recording the captured video... and a switcher if multiple cams are used... and the IP network interface.