Thanks for answering and providing the info Racehorse! And yes... I do need help purchasing
Anyhow,
I'm looking for an e-cigarette brand that has the following qualities:
1.) Chemical free cartridge (since anti freeze aka propylene glycol is in many)
First off, the propylene glycol isn't in the cartridge itself, but in the ejuice that goes into it. I think you're confusing Propylene Glycol with Ethylene Glycol, the latter being the common, very dangerous to consume automotive antifreeze. Propylene Glycol is often used as a preservative, probably even in the cigarettes you used to smoke, and the antifreeze it's used in is the more expensive "pet safe" stuff. If you are set against PG, you can also get "ejuice" (the stuff you put in the cartridges) with all Vegetable Glycerin (VG) instead. Most ejuice suppliers use some mix of the two for best effect.
Propylene Glycol on Wikipedia
Propylene Glycol vs. Vegetable Glycerin E-Liquid – What’s the Difference?
2.) Nicotine free menthol flavored cartridge (I'm going nicotine free because a medication I'm about to go on is much less affective when combined with nicotine)
Most ejuice retailers offer various mixtures of nicotine, including a mix with no nicotine at all. Usually when you buy your starter kit you can choose what flavor and nicotine level it will come with, although you're at the mercy of the supplier for PG/VG mix. There are also many, many different menthol flavors to choose from. Google "ejuice" and check out the offerings of some of the suppliers.
3.) GOOD QUALITY e-cig/cartridges that are the most affordable.
The cartridges can usually be refilled several times. I can't speak to the quality of most of the kits, I'm new here as well
I wanted a cig-a-like, so after starting with a crappy little mini (which was cheap and got me interested in vaping), and then doing a bunch of research, I've ordered an Apollo Extreme starter kit. There are many other, relatively low priced and good quality options available, depending on what you're looking for, most people seem to recommend the eGo or evod. Also note the difference between manual and automatic batteries.
I am linking to these to show what the kits look like, include, and a general idea on pricing. These are almost certainly not the best prices available, just what a quick google search turns up. You should do more research, as there are probably variants on these kits that may be of further interest. You should also look up and consider the cost of replacement cartomizers and batteries, the cartomizers are refillable and batteries rechargeable, but nothing lasts forever.
Evod starter kit
eGo starter kit
Apollo Extreme starter kit
4.) One that is timed to last as long a normal cigarette would take to smoke (if they even exist), although this is not a must. It's just with my last e cig I ended up sucking on it all day since it didn't burn out like a regular one.
I don't think anything like this exists, to be honest. Most e-cigs are a combination of a battery and a cartomizer, and the cartomizer holds enough liquid to replace about a pack of cigarettes, but it's comparing apples and oranges. Even after only a week on the mini, I'm finding myself treating it less like a cigarette and more like a bottle of soda, ie you don't drink the whole bottle at once, you take a sip (puff) or two when you want to, then set it down. Getting back to the point, it takes very little liquid to replace a single cigarette, 1 or 2 drops, and I don't think the cartomizers would perform very well with that little fluid in them all the time. You also would have to carry around 20 cartomizers to replace a pack of cigarettes, and have some way to separate the filled ones from the ones to be refilled. A simpler solution would be a 5-10 minute timer on your watch or smartphone.