I think Lena June and Lena Pearl are both nice, but I wouldn't be so quick to give up on Eliza. Those "hot names" pieces are usually full of crap and based on a particular website's traffic, not on actual SSA data.
Eliza has been increasing in popularity, but it's a long, slow increase. Here are the actual SSA rankings:
So Eliza won't be top 10 any time soon and it is unlikely to be a breakout name of 2012.