There's the BG that you get the most honor from and the one you get the most personal pleasure from - do the two match?
My personal fav is still AV - off all the BGs I've been in, AV has the most "water cooler moments" ie/times when either offense or defense has completely sucked me into the game world and winning (or losing but not giving up) has seemed most important.
More often then not, AV has resulted in battle in which, despite the "screw it, let the other side win" situations have cropped up, I've been able to rally the Horde to say "F-it" and all go on D to fight to the last man even though logic says that letting the other side just win gives the best honor to time ratio - sorry, but an epic fight means more to me then fast honor - that's my idea of fun, saying "F-it, make the SOBs earn their honor" even if we have to drag out the battle to the last Horde KIA.
Strand seems to be my best honor gain though - when we suck, we suck hard, when we win, we p0wn, so it's fast, easy honor either way you cut it - 13m for the Horde to p0wn allies or 13m for allies to p0wn horde - wasting 20m with two evenly matched sides is the exception, not the norm.
Neither of the new battles impress me - a 3 cap in battle of Gil is the exception, not the norm, meaning a painful, drawn out fight whether Horde wins or loses, while the new version of AB more often then not results in worthless 0-0 battles - thanks for wasting 30m of my time for 40 honor.