I would recommend alcohol for a couple weeks along the AT with Dehydrated meals/rice. Macaroni/spaghetti doesn't do so well, since it requires about 10 minutes of boiling at hot (salted water) temps. Difficult to cook in a cozy of any sort because it gets starchy/sticky. I like to cook it, but I always use a SVEA.
You can resupply every 4-5 days along the AT. So, you will be able to bring enough without carrying a ton of weight. It breaks even with canisters at about 5 days if you do any cooking, but it sounds like you won't be, just boiling water. There is a significant difference between methanol and ethanol: ~9000BTU/lb vs ~12000BTU/lb so get Everclear 95% if you can. If not, go with SLX (~50/50 meth/eth.) All burn cleanly. Some of the others include all sorts of denaturating agents and often make poor fuels. Look for "Marine Cooking Fuel" on the can or listed as one of the uses. Repackage into a plastic soda bottle marked clearly as fuel (methanol is toxic.) Quantity is based on your usage. I plan on one ounce per meal. Plus one ounce for cooking each day. If you cook each morning, too, plan an extra ounce for that. (This is a little high, I actually use ~3.25oz per day.)
Second best would be to go with a canister stove. Again, with resupplies every few days, you can get a new canister at a local shop, but check availability, first. Not everywhere stocks the cans. Or carry an extra can. At ~12oz for an 8oz (240 or 220gm can) these are not terrible if you go UL.
I always carry a WG stove even if I am UL. It is just far easier for me to not worry about fuel or stoves. I bring a 20floz bottle full. It weighs about 17oz and will last a full two weeks with a bit left over. I also cook every morning and night.
On the trail, I am in no particular hurry. I can get 15 miles and still have plenty of time if I don't leave untill 0900 and don't get in untill 1630-1700 or so. I tend to be lazy about things and still make my miles.