I think at that stage I did swaddle before I started a breastfeed if I thought he was likely to pop off to sleep while feeding. My DS had disco arms though and needed to calm down to feed.
One week is tiny. She has been inside you for approximately 40 weeks so 7 days on the outside and it is all new and scary still. I used to be a heavy sleeper but I find it changes when you have a baby next to you, you are naturally more aware of them and you sleep lighter. This is especially true if you are breastfeeding as your body is very tuned into your baby's needs. Most co-sleeping mothers automatically sleep in a safe position curled around their baby. In this position you won't roll onto her. Basically you sleep on your side with your knees bent up. You stick your bottom arm out so that your baby is safely tucked in between your arm above her head and your knees under her body. Your boob is smack bang in front of her mouth which is very handy. I have a bed rail on my side of the bed to prevent rolling off the edge (this is safer than putting the baby in the middle as your partner does not have the same instinctive awareness about not rolling on the baby that you do) Look up safe co sleeping guidelines on the internet. Some nights it is the only way for everyone to get some shut eye.
I think at one week old the shift system is a good one. take it in turns to sleep. I am assuming your husband is on paternity leave, in which case you can also take it in turns to sleep in the day. Brand new babies don't know day from night so you also have to sleep whenever you can.
I would put the crib right next to your side of the bed so that you can get a hand into it to pat her while you are lying in bed and she can see you and hear you next to her. If you can afford it, a NCT bednest is available to hire for 6 months - it gives you the benefits of cosleeping but the baby still has their own sleeping surface which is attached next to your bed.
At the end of the day, if babies were happy to lie by themselves for periods of time rather than stay close to an adult, the human species would not have evolved this far. Babies are, unfortunately, unaware that it is the 21st century and there is no imminent danger of tigers.
Congratulations on your new baby and remember, this stage does not last forever! Do what you can to get the sleep you need whenever possible for now, it won't always be like this and in a couple of months time your baby will start to get some idea of day and night and some semblance of a daily routine may begin to emerge.