Imho the best browser is Maxthon. I've tried all of the most famous browsers and I've come to this conclusion: fast, instant back/forward, flash support, cloud sync (if you want it), auto-fit content when zooming the page. I strongly suggest that you give it a shot.
However, about battery drain I find that both the stock browser and Maxthon consume quite a bit of power. I can say more or less 25% per hour (I have the S4 soc, though). Not so much as you say but to me it seems quite a huge drain.
How much are you guys consuming with your browsers?