Rick,
The wireless solution, there are many, is likely it work well given the close proximity of your TV and your Sat Receiver. I am not so sure about the bedroom application, these frequencies like line of sight antenna to antenna. Any wall or closed doors in the RV is likely an issue. If you test this option have the extra bedroom receiver as part of the test. This is a good article overview of the technology.
http://www.portablehifi.com/wireless-hdmi-transmission-protocols-products/If I chose to do wireless, I would probably buy from Amazon or a local Best Buy with a good return policy and see if the solution worked, and if not try another. There is a little gamble in that the RF environment around our coach changes and you may end up parked in an area with interference issues.
One last option (which I chose) is to use some amplified Balun converters that allow transmission over Cat4 ethernet cables. The advantage is the ends can be put on after you push the cables through openings, long distance, no rf issues, and they can pass through a 1/4 inch hole. Disadvantage is you still have to run and hide the cables. I have used a small home made cherry molding with a small channel cut out of the backside to get around for a short run between cabinets for a different ethernet cable application. For my cable run from the rear closet where I located my sat receiver to the front tv, I loosened the ceiling center panels and tucked the wire behind it. You can drill the metal box that houses the swing down tv and enter where it best works for you. My ceiling panel butted the box so I came in from the living room end. This solution is 4K tv compliant which may be a future issue seeing the movement to 4K, some wireless solutions may handle 4K also, not sure.
https://www.amazon.com/dp/B019MADOS8/ref=pd_lpo_sbs_dp_ss_3?pf_rd_p=1944687442&pf_rd_s=lpo-top-stripe-1&pf_rd_t=201&pf_rd_i=B00OZV04BK&pf_rd_m=ATVPDKIKX0DER&pf_rd_r=J4KBG3NAFSF8R2XRDTMRGood luck with this, we do love the 4k tv and the hdmi solution with Dish 1080P. It is worth the struggle to get there from here...
Later Ed