You could also try starting Gimli + Legolas, then run about 3 copies of
Elrond, HtGG and a few
Shoulder to Shoulder. Legolas could exert twice to force discards on one site, then at the next site, you use
Shoulder to Shoulder and exert Gimli twice to heal Legolas twice, then exert Elrond twice to heal Gimli twice (effectively moving your wounds from Legolas onto Elrond), and at the start of the next turn, Elrond heals himself twice. Also, running Elrond just allows you to run
Vilya and
Secret Sentinels, which is always nice. =P
I think it would probably be better to start Lego/Gimli so that you've got an archer right off the bat, instead of having to wait around to get a card that allows you to use White Arrows of Lorien.