What .Net orms or MicroOrms support async operations and PostgreSql
If you are using .NET 4.5, I wrote a fork of Dapper that adds async methods that internally call ExecuteReaderAsync. It is also available on NuGet. I haven't tested it with Postgresql but if Dapper works with it then my fork should as well.
Just stumbled upon this new ORM called Insight.Database and they claim to support async queries:
List<Beer> beerMenu = await Database1.AsyncQuery<Beer>("FindBeer", new { Name = "Sly Fox" });
I did not try it yet...
Telerik's free OpenAccess ORM supports PostgeSQL, but I can't see anything mentioned about async. Maybe you could contact them, their online support is pretty good.