I finally ran an LFR. I think we hit four or five bosses. Each boss seemed to drop perhaps 5-6 epics, so, for a lowly caster like me -- I had to roll against 20ish other people in the raid.
But it was nice to go through a raid on "easy" mode. The RNG drops 384 pieces, which beats the 378s you can get from JPs. It seems to me, if you are a i359 raider, you ought to try to collect JP and VP for 378/3?? and then fill in the blanks with raid drops (384). If you do a real raid, I think that goes to 390 -- it's just that most guilds are so decimated now, that it doesn't happen.
Here is a quick list of where you get all the lootz.
333 4.0 Heroic Drop
346 4.0 Raid Drop
359 4.1 Raid Drop
365 HH Seasonal
378 Purchased with JP
384 LFR Raid Drop
397 Purchased with VP or Normal Raid Drop
410 Heroic Raid Drop