This is wierd ... I'm in exactly the same situation ... almost down to the amount of honour we've gained so far.
Only diffs is that I'm horde, and in our battlegroup - Alliance owns .. well ... all of the BG's ;-) It's a rarity that horde win at all - and generally met with disbelief by guildies and friends alike when you say horde won XXX battleground.
I've done one EotS (which we won ... incidentally) ... and what I did there was defend the BE tower with a warrior and priest. The priest tried as much as possible to stay out of sight, and we made sure that we fought as close to the building as possible (to allow the priest to see us and heal us).
The warrior was a Tauren, and for some reason (maybe his imposing size with the huge S2 mace), any attackers focused exclusively on him (who said there isn't a threat table in PvP ;->), while I stunlocked them in place. Priest kept us alive, and we pwned. It was really cool.
So yeah, defend a node, do it with a good healer if possible, and a good DPSer. If your healer stays outta trouble, you'll be a very tough team to break.
Other than that ... if you want a change, float around with a group and cause mayhem with members from the opposition who are floating around as well.
Important thing that I've realised ... try to stay away from 1v1 combat, unless you're sure the other person is not S3/S4 geared (or even S2) (ie, similar gearing to you) ... I had an embarrassing moment the other night where I took on another rogue ... he stood there, taking everything I could throw at him, after about 15 - 20 secs of combat, he was about 30% health, then he ShS'd, whipped out his swords, and soundly beat me black and blue. It was bad ... and the difference was his gear ... I had no chance in retrospect, and he knew it ;-(
If you're geared the same, and you get the jump on him, and he's pretty much alone ... you'll win ... but that hardly ever happens nowadays, especially if you're new to the BG's.