I also like to RP my chars too (I mean, I play Roleplay tabletop games) but I did not find any game based in D&D or PF which is not combat-heavy. Even in the games you said, Fallout new vegas or Dragon age origins there are a lot of fighting involved. There is a lot of very good dialogs, indeed. Plenty of choices (DA games went to the gutter when they started the dialog wheel thing)
In POE2, for instance there are many choices for unique dialogs based in race or background, and plenty of skillchecks so it has tons of replayability. Even in DoS2 there are lots of dialog variations for different characters, sex, race, etc.
But still in those games you are fighting 80% of the time. Period.
The only games based in a tabletop that allows you to RP more are the memoria games, based in TDE, and they are mostly a graphic adventure game. And the incredible Planescape torment and Age of Decadence. I wil also add Tides of numenera, but man... the game has so many flaws. If you use skills you only have to fight 3 or four times in the entire game, tho. Like in VTMB.
And I do not know if you can call that full RP, if you compare it with a D&D tabletop session, even online.
I've never heard of Age of Decadence, what is it about and what system does it use?