If you have a routine that lasts longer than 45 seconds (usually the minimum shot clock) you need to start looking at ways to make your process more efficient. You can basically get all the info you need (except elevation) if you just watch where your ball comes to rest - you'll have raw yardage, wind speed and general wind direction. So from all that you can start picking a club and shot type while your opponent is hitting, then all that's left is fine tuning aim and any +/- for elevation once you are back on the clock. If you are on the green it maybe more difficult to cycle through all the different views to find the one you want. That's where "feel" and experience come in and sometimes you just have to take best guess and let it rip.
For others watching, I don't have a ton of experience myself, but I just try to keep the chatter to a minimum and go through my normal routine. Generally an event that is being streamed will have a longer shot clock, so there is plenty of time for the "nice shot", "great birdie", "wtf happened there?" comments in between shots. You play enough and you'll realize even the best players can hit some squirrely shots from time to time, so don't get nervous or embarrassed about your game in front of others watching. Also, if it's being streamed for A LOT of people, I generally keep my earpiece and microphone muted as much as much as possible, and don't bother reading the chat boxes until I'm comfortable.