Yes, it sounds to me like it's more of an issue with the tanks you are using rather than the device that powers them. If you want to use high wattage, you'll need something with sufficient wicking and airflow to keep up with the amount of juice being vaporized. Something like the Kanger Subtank or Aspire Atlantis, maybe.
Subohming should be a last resort, not a first recommendation. There's a lot of issues that go with subohming, and it's the most expensive way to vape. It's not for novices.
My recommendation would be to get an Innokin MVP 3 or possibly an iStick 50W mod and an Aspire Nautilus tank. That would get you an extremely reliable mod with more than enough power to push the tank to it's limits. The Nautilus will put out plenty of vapor to satisfy most people without the added cost of going with a subohm setup. And both of those mods will still have enough power to use a subtank on it if you decide you want to go that route later.
I would avoid the Aspire CF, at least for now. It's a mech mod so the power isn't adjustable. If you find it's a little weak then you have to live with it being weak because you can't turn the power up. For now stick with a regulated mod where you can control the power. It's easier.