Ash, how can one play DAI without meeting Varric ( and Cassandra) first? Without knowing who that Morrigan lady is? Not to mention that DAI events are largely based on the DA2 ending, and knowing THAT thing would ruin DA2 experience greatly (imo).
Also, some of DAO final decisions are confirmed to be important. Like we're going to meet the ruler of Ferelden, and it would also spoil some of DAO plot moments.
But I'm not sure I want to play DAO or DAA at all.
Well, DAA is optional in many ways, it does not even influence DA2. If I were you I'd tried (at least) starting from DA2. It explains some of DAO backstory and many things about the ongoing DAI events, and it involves most of the important characters (Varric, Cullen, Cassandra). But it's up to you, of course.