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!
Most likely you're SCH will be resolved by the time you hit 20 weeks. I had a big bleed at 5 weeks and I just knew I was miscarrying. At 12 weeks I had an u/s and my midwife said that it was gone.
If I could give you any advice I'd say DONT look-up anything because the information is the worst case scenario in most cases. Also, try not to worry. I didn't get to enjoy my first trimester because I was so terrified I was going to bleed again.
I hope your bleeding stops and you heal quickly!!!!