So I broke the coax connection off the back of the TV in my RV. From what I have read, it would seem I can buy a tuner and use the HDMI input on the TV to get the local over the air channels. Which would be great....but.....and here's the question. Will the cable work with that tuner? Most of the RV parks that we visit provide cable and it's nice to be able to take advantage of that. Thanks for any help.