Try raising your presser foot setting as high as it can go (when the foot is down.) And when you piece your tops, try and spin seams at intersections to reduce the bulk.
For my longarm I have a plastic cup-shaped foot for gliding over seam intersections. See if maybe a foot like that is available for your 570.
Yikes... I just looked up feet for your machine, and the one I was talking about was $125! Mine was pricey too, but not that much. Take a look at it. It would defimitely solve your problem.
https://www.sewingmachinesplus.com/1...All%20Products