Welcome!
Hmmm... Here are a few general things to consider.
First, fill us in on what cigalikes you tried so far. Any links to web sites will be helpful. Just so we can rule out that they really are the proprietary one-off's out there that aren't compatible with much of anything.
If you are ok with the short run time on what you already tried, most other cigalikes won't be any better than what you already experienced. Joyetech does make a cigaliike XL size battery. It's longer, but no bigger around. I think one other company make an XL with an 808 connector. (see next)
To avoid the proprietary dilemma you want to get a cigalike with either a 510 or 808 connector. 510 is what is on your Twist and is more widely in the market than 808. Because of that, 510 stuff is generally less expensive - and much more widely available - than 808. When it comes to tracking down things like cartos this can be important, and get a lot more expensive too, if you choose to go with an 808 connector style. If a company won't tell you what connector they are using, or you can't easily find out here - don't buy it. Period.
The other side of this coin is there are more cigalikes in the market right now with 808 connectors. Keep in mind here in the scheme of "a lot" we're talking maybe a total of less than a half dozen options that are known to have 510 or 808 connections. But some people place heavy importance on style and if purple is only available in an 808 model, then 808 it is.
Someone else is gonna have to jump in here about 808 manufacturers. I know them, but drawing a total blank tonight. If you want to see some basic 510 cigalike options from Joyetech check out
www.Cignot.com Cignot has a Joyetech 510 two battery, two atty, charger, five cartridge nobox kit for $35.00 The cartridges can be empty so you can fill them with your own liquid. That would be about the lowest price out there for a 2 battery kit from a known manufacturer.
The Joyetech kit is old school - attys and cartridges. It's what is known as a 3 piece: battery atty and cartridge. It works, but most people use cartomizers instead, making it a 2 piece: battery and carto. Any standard resistance 510 carto will work with the Joyetech kit.
You need to stick with standard resistance devices with these batteries - 2.0 ohms or higher. The small size batteries aren't meant to deal with low resistance stuff and using LR cartos will kill them in short order.
Not sure what devices you are using now with your Twist. Both the atty/cartidge system or cartos are refillable. Cartos tend to have a short life span on average - about 6 days for most people.