You can have 1, but you can't have both

Try holding the camera angle swap button for a couple seconds. That gives you a nice “in between” view. You have to this every game though, as it doesn’t save. 

Learn to toggle the back button (camera switch) to constantly switch between the puck when you are not in possession . I don't even have half of an idea on how you would fix something like this without it looking very weird on screen.  The changing of the score clock location should make it easier to see the arrows though at the bottom. Just as a reminder that if you are having a problem, check your camera choice for online. I play at overhead to make sure I can see almost everything that is going on at all times. That said, I am still pressing the camera switch button (as a defenseman) constantly. If you are having trouble just go into the quickplay 3v3 or pro-am and practice switching every time the puck changes possession. Might help you get the muscle memory down. 😁

I used to be a Zone and Classic camera kinda guy but ever since launch I have noticed a huge QoL change using Overhead.

As others have mentioned, you can click the touchpad certain ways to change your "focus" as well; Unless you come across a team leans heavily on dumping the puck, you shouldn't need to use this too much.

As Socair mentioned, you can hold down the camera switch button to get a view that keeps both your player and the puck on screen. This is the first thing I do when I load into a game. Unfortunately, that setting doesn't get saved so you have to manually set it for each game.

OP: I highly recommend using the "overhead" camera for ANY online game modes. You might be able to get away with Dynamic High or Classic for 1v1 modes like OVP or HUT but I find that I see the ice way better when using Overhead.