I think you're getting too complicated SorO.
As I see it we have three options. I looked for an online dice roller that doesn't require a login but still saves link-able rolls and couldn't find one so that's out.
Option 1: We use an online dice roller with a shared login for the game.
Option 2: Everyone just spouts numbers at each other and everybody trusts everybody.
Option 3: I spout all numbers, including yours, because I'm the boss.
Option 3 feels like it would lessen player enjoyment. Option 1 feels like it would be extra work and slow things down even more than it already is.
I think we're stuck with Option 2. Thoughts?