yep, that was my thought process to push for TTRPG (the tabletop part identifies as "something you play at the table" ), maybe "Tabletop + LARP" or use the "+" to identify as "there is more stuff related but we didn't knew how to categorize it".
It seems that there is no a super-easy answer (in certain light, this is good, this is a very diverse hobby even in outputs produced)
My vote would go toward Tabletop because it has the broadest use -- there's even a Television show about "tabletop" games. Analog sounds cool, but it would be confusing to some. And Physical games sounds really weird to me.