Not being a fan of country rock The Eagles and some of Neil Young`s stuff are about as near as I get to it (The Eagle`s country stuff mostly seems to be evident on their pre-Hotel California stuff) Certainly agree with the OP about the contrast between Glenn Frey and Don Henley`s voices and to be fair few groups have been blessed with such a variety of great vocalists like the Eagles have. My favourite song by the Eagles is sung by Timothy B.Schmit " I can`t tell you why"
Favourite member though is Joe Walsh but that`s because he was in the James Gang.