The HR44 (Genie) requires SWM technology and the KVH antenna (no dome) has this system built in. So the quick answer is NO, you cannot hook up your Genie to the dome. You can call KVH and see if they can tell you if you are able to add the SWM8 and PI29 setup to the dome to make it compatible and still be able to find the 101 satellite. Even if you are able to make the necessary changes to get the dome converted to SWM the DirecTV signal will only be available in SD. No HD programming will be available.
If you want full functionality in the RV with your Genie you will need to install a Winegard Trav'ler. While you won't be able to watch TV live while driving you will be able to watch all of your recorded programming. When you get parked you push a button and you are watching/recording live TV in less than 10 minutes.