I am sorry I am going to break the consensus. I would recommend the Captain General set by the Pike and Shot Society - http://www.pikeandshotsociety.org/sales.htm
These rules are the best reflection of the League of Augsburg period that I know of, although they can be a bit fiddly to play. They don't look great and have no flashy eye candy - instead they are just good rules.
In contrast Beneath the Lily Banners are full of historical inaccuracies and other problems. I would certainly agree that the 1st edition was full of playability problems and the 2nd edition is generally better, but still with problems. They do have a lot of eye candy if that is what you like.
On the BLB forum this was certainly a great place in the past. Unfortunately in recent years various problems, the attitudes of some people there and other issues have changed this. Most of the people with genuine knowledge of the period have either left the forum or stopped posting. Sometimes those leaving have insisted on their posts being deleted and so making some of the threads very strange. It is now OK for bits and pieces but I wouldn't rely on it unless detailed sources are given or it is backed by good quality information elsewhere.