LR, that sounds exhausting

For fast flow, posture feeding can work really well. This is where you lie on your back while you feed, so that Daisy is effectively feeding "uphill". It can take a few tries to get the positioning working - I found sitting up while holding baby and then lying back helped. If you do this, it is important to sit up before the end of the feed though so that your breast can drain properly. Leaning back while feeding can help too if you can't lie down.

The other thing that often works is what you are already trying - expressing and then attaching after the first let down. It might be worth still trying this though - sometimes things work sometimes and not others.

Another option might be to try block feeding - this is doing two consecutive feeds from the same side. This works well with oversupply, but that might not be what is happening for you (oversupply and fast flow don't necessarily go together).

Have you also tried keeping Daisy upright for 10 - 15 minutes after each feed? This can be really tiring also, but works well for some babies.

I hope these suggestions help. Let us know if they don't and we'll think of some more!!