Oh it is a phase anyway OP. Meaning, you're likely to be hitting a growth spurt now but either way it's going to pass pretty soon. New babies just need to be close to their mums, however they're fed, and what you're describing is new baby behaviour, not BF baby behaviour. I totally understand the feeling of it all being down to you and being tied to the baby, but I promise that this absolute need does die down, and in the meantime you do have a wonderful way to keep her happy! Once things do settle, you will have an amazing parenting tool. BFing is so much more than just milk. It's a wonderful way to calm and soothe a baby, to get them to sleep, keep them quiet and settled, and you never have to worry about them being without food even if you're stuck somewhere.
FF does mean that you get a break (although if you can express some milk this will give you a bit of space as well, if she'll accept it from a cup or bottle) but it opens a whole load of new problems as well - most of which only become apparent when you get through the next 2 or 3 weeks and things start to improve.
You need to work out what is best for you, but bear in mind that while this time is so terribly hard, it really lasts for a very short time (I know, it's forever while you're in it!) and really, it's just a newborn thing, not a BF thing, and losing the BFing benefits that you will really appreciate as she gets a little bit older would be a real shame if you can manage to hang in there :)
Regarding BFing a child over 6 months, you are right, it would be a shame to move to FF - but you always have this option so just don't think about that right now. In the meantime, every day you are BFing you're giving her milk designed just for her, protecting her tummy, supporting her immune system and giving her the comfort she clearly needs. She's so used to being tightly hugged in your tummy, and being cuddled close to you now is so important to her. But it's so hard, isn't it, having someone so dependent and "touchy" all the time. I mean, it's mostly wonderful, but sometimes it's just more than it's easy to cope with. It is a lot of pressure but it does get better, and faster than you'd think. :)