While I'm in the same spot as you, 5 looking to go to 7 and haven't landed one myself. I'll say that a lot of my progress came from thinking about yanking with 2 hands again in a similar fashion you did for your first 360 when you look to go to 7.
Hold edge into the kicker to make line tension
yank on the way up the kicker to make slack with 2 hands
Put both hands back on the handle and yank again
make handlepass and ensure you don't catch your back edge.
I put this together as it was just sitting on my hard drive but it is of Jay Roehm doing a switch hsfs7 and you can clearly see he puts both hands back on the handle at like 15s when his arms are out straight and then doesn't remove his hand for the handlepass until he has pulled again and his arms are at like 90*.
Hope it helps.