I've done piece in the hoop, and quilting in the hoop. Easy way to deal with raggies.
You can use fancy stitches to batten down sashing and borders.
Queen of Stitching has a lot of Quilt in the Hoop, not to mention Quilt as you Go. Books on straight line quilting which use fancy stitches. "One Line at a Time" comes to mind.
If the largest you can do on a 350 is a 5X7 hoop, most designs come 4x4, 5x5, 6x6, and some larger.
I found an 8" block worked just fine with a 5X5 design.