Glad you found the forum here, KayliBo. Sounds like you are experiencing what many of us on here have, and I haven't heard any unhappy endings on here at your gestation since I've been on here (about 14 weeks I believe). I would request a follow-up ultrasound in 2 weeks, but that's just me. This early in pregnancy, U/S's are for our peace of mind, not the doc's knowledge, so they may not push it unless you ask. I had to push for most of mine back then and they never gave me a problem since you have a legitimate reason (to check the clot's progress).
Bedrest is always a mixed topic of discussion on here--with larger clots, some are told complete bedrest, and then others (myself included) are told just nothing strenuous. Basically, I went about my normal business but didn't excercise or lift barely anything until my clot went way down. (My specialist told me there isn't any convincing evidence that bedrest helps, but he said taking it easy has been proven to help. But every doc is different).
My regular OB doc didn't know much at all about SCHs and couldn't answer any of my questions with confidence, so they referred me to a specialist (perinatologist), so you could call the doc's office and ask for a referral (you will have to be referred).
I know it's such a stressful situation you are in and I hope you find comfort here on the forums, we are always happy to answer questions and give support
(Great move on the doppler, too, I can't tell you enough how much difference that has made for me)