> If you attack with a shield—most likely as an improvised weapon—do you keep the +2 bonus to AC? Attacking with a shield doesn’t deprive you of the bonus to AC.
This seems like it has a huge impact on the action economy, especially at lower levels.
It wasn't initially obvious to me how this interacted with the Shield Master feat, as I thought it was redundant with the benefit that lets you shove with the shield as a bonus action. It turns out that you can only shove as part of the attack action, so implicitly not with an attack made as a bonus action with an offhand weapon. This implies that for a normal character with a shield, you can make an off-hand bonus action attack with a shield as an improvised weapon (so no proficiency bonus), and the Shield Master feat gives you the additional option of shoving as a bonus action.
It would have been nice if this had been spelled out somewhere. I'm willing to bet that the vast majority of players playing melee characters with shields aren't aware that they're supposed to be allowed to bash with them as a bonus action every turn. I sure wasn't.