The Evic VT has a 5000mAh battery even, 5010 to be exact if you do the math.
And yeah, that's what I bought for myself a few weeks ago. I didn't recommend it because it's somewhat outdated compared to the ones I mentioned before but if you don't need the latest tech it still is a really nice device. I just wish it could do SS in TC mode as well since I find these titanium coils a bit hard to wrap at times. It is pretty heavy though, but I guess that is to be expected with that much battery in there.
It is heavier than an iStick 30 or even 50W, but lighter than the iStick 100 or 100W TC.
I was also looking at the Tesla 60W that garnered a lot of great reviews. It also has a built in 3600 mAh battery, but I'm not too keen on the button placement.
I'm all about battery life with my mods, since I hate running out of a charge during workdays. The heavy mods stay at home, same as the single 18650 mods.