I had a SCH with my last pregnancy. It started around 6w, and lasted until about 12w. For me, I bleed, like a period, once a week, for a few days each time. I gave birth to a very healthy baby boy at 40w3d. I'm sure I could have had a homebirth. I think for you, as long as it clears up, you should be fine to have a homebirth!
I know how scary it is.. (((HUGS))) hang it there!