I've been tagging games with adventure if they're all about chatting to NPCs without RPG elements, since "adventure game" seems to the the best description of these. I've also tagged some stuff as adventure puzzle. This is a mess. Firstly, there are a couple RPGs like Walthros already tagged adventure. My use of 'adventure' is basically ambiguous so I should probably rename it to 'adventure game' so you can tag every RPG ever with 'adventure' if you care to. Secondly I really hate to tag games as adventure games when it's all talk and everything happens on one map.
Yeah no one is going to go looking for adventure puzzle games, they're going to be looking for adventure games if anything. There isn't really an established genre that Walk N Talk games fall into. The closest is honestly Visual Novel, but they don't really fit the expected portrait format of that genre. Likewise Interactive Fiction generally implies something is purely text based (and often falling more into adventure games with puzzles). Character Drama could arguably apply to many games that have stories.
I'd personally say go with "no battles" since it's pretty descriptive about what they are: the RPG format, but without battles. Could eventually get into sticky territory with people tagging sim games and other non-RPG genres as "no battles". There isn't really a right choice, but failing "No Battles" I'd say "Visual Novel" even though it will defy people's expectations slightly.