I highly recommend, it is an awesome course. In your list I'd rank it ahead of Waterville and perhaps Old Head as well (less dramatic but more linksy than Old Head) Haven't played Dooks or Doonbeg so can't comment on how it compares to those. Tralee starts out on the flat part of the property but is very challenging when the wind's up, which it almost always is in SW Ireland, and then you move into the dunes and giant dunes are something SW Ireland is not lacking! It is like two different courses, each wonderful in their own way.
I'd skip Killarney's courses with the possible exception of a "just off the plane at noon and want a warm up round" game at Killarney Killeen. I've played it twice that way since it just worked out due to schedule and my dad likes that course for some reason, but if it were up to me I'd think there ought to be some lesser known hidden gem in the area that would provide a course more unlike what is not hard to find in many parts of the US. I played Mahoney's Point last trip for the first time and it will definitely be my last time. Its not a bad course, but why travel to Ireland to play what I can find here in Iowa, let alone in the golfing mecca parts of the US? I'd rather play something I've never heard of before and hope I stumble upon the Painswick of SW Ireland!