When I tried to go all e-cig, I had the same problems your describing. Battery life and cart life much to short.
The good news is there are a lot of long life battery options. The Tornado as already mentioned. Lots of suppliers now selling mods that hold larger batteries. Mad Vapes sells the parts, and has instructions on their web site to make your own big battery mod. With a longer life battery topping up carts isnt to bad.
In my 510 carts I am using the blue foam mod you can search for it, and a few others. The carts do seem to last about twice as long this way. Of course its one more hassle in my opinion.
Also look at the 808 (not sure of exact model) but many here use it. The cart and atty are in one piece and the cart does last a long time. You can refill it four or five times then toss it out. Each cart has an atty built in so it is less troublesome. I tried it and loved the cart life, and ease of use. I didnt like the vapor or throat hit. A lot of people really like it.
The other new thing if you have been gone awhile. There are a lot of adapters. You can use/try about any atty on any battery. So for example, I could try the 808 carts with my 510 battery without buying a whole kit.