Haven't read your other posts, so maybe someone has already answered for pronunciation but here are the Forvo links...
http://www.forvo.com/word/egl%C4%97_%28i._egl%C4%97%29/
http://www.forvo.com/word/giedr%C4%97/
Going by these, I like the sound of
Giedrė but
Eglė doesn't suit my ear.