I wouldn't wake for a last feed at 10.30pm - not many babies go through the night at that age with the last feed at that time. More likely she'll want another feed in the night, especially if she has a growth spurt.
I didn't bother doing anything like that and just let DS wake when he was ready. He did sometimes naturally wake around then but sometimes he wakes earlier, other times later.
Just read your second post - does she cry when you put her down on her back to swaddle? Is this quite soon after a feed? What happens if you don't put her on her back - just hold her in your arms firmly and settle her that way?
Basically I'm wondering if your DD has wind or reflux - so lying her on her back too soon after a feed is painful so she screams. Screaming then makes her take down more wind, making it more painful etc etc. Also throwing herself back when you tried to BF her is a clue. Bottle feeding can be more comfortable as she'll be more upright.
Has she become worse since you switched to formula? Some babies are intolerant to cow's milk which can cause silent reflux (heartburn) hence the screaming.
If so, try making her more comfortable by giving smaller and more frequent feeds in the day, hold upright for 30 mins after a feed (by winding then pop in sling or bouncy chair) and putting her cot on an incline - you can use these. Also don't feed before a nap, feed on waking.
if this helps, then it could be reflux. I'd speak to your HV or GP as they can recommend formula which is easier to digest.
HTH