Yea I've got some Lipton sitting at home so might start with that (or the bags of English/Irish breakfast I've got), but the loose leaf you linked earlier certainly seems like a fine option. Have you ever tried cold brewing overnight for this? I've got one of these and it's worked pretty well for the fruit-flavored loose leafs that I like.
Yup you can definitely do that. That's how I did my first few batches. I now use one of these. I know it says "Iced Tea Maker", but the one marketed towards cold brew is the same exact thing.
I've found that making cold brew is pretty forgiving. You can use less than ideal beans and come out with a decent product. And you can easily scale up the size of your brewing vessel so long as you have some method of filtering out the grounds.