Short answer is NO!
There is only one dome that might work with DirectHD
If you want to instal an automatic something on the roof, something I strongly discourage, your choice is a Winegard Travler or RFMogul. Both are automatic open face dishes. I had no end or problems with Travlers, and Winegard requires you to remove and ship to them for repairs. RFMogul can be repaired on your RV.
I assume by your description you have a Direct Genie and mini genies?
Do you have a GenieI or GenieII? There is a difference. The Genie II needs a dedicated wifi to work as I have been told by Direct.