I def would not get an elite. While the batteries are alittle better, their still relatively small and the elite is still a slim ecig, and you still would only be able to use standard resistance attys/cartos.
Between the eGo-C and the Go-Go, honestly Id say neither.
The Go-Go does have good battery life, but it has its own special threading, and you couldnt use any other attys or cartos unless you got an adapter.
If your going to get an eGo, I would def just get a regular eGo and use cartos instead of getting an eGo-C. The C tanks are a slight upgrade from the older eGo T tanks, but thats really not saying much. They can still be very finicky and leak a lot. Plus they dull flavor and TH just like the T-tanks do.
Also keep in mind that the eGo is only 3.3-3.4V, so going with an eGo would actually be a downgrade voltage wise.
I would go with something like an E-Power or kGo instead. They are 3.7V PVs instead and both have awesome battery life.
3.7V PVs provide alittle more "oomph" than an eGo, and more importantly handle the lower resistance attys and cartos better. The E-Power and kGo both give a great vape and are the same price, if not cheaper, than a lot of vendors sell the eGo for.
The main difference between the E-power and kGo is that the kGo uses proprietary batteries like the eGo does, while the E-power uses non-proprietary batteries, which are removable and cost 1/4 the price of eGo/kGo batteries. Also everything is replaceable on the E-power so its cheaper to maintain.
Personally I think an E-Power or kGo would def be a better choice, but thats up to you