I have a small 7" set just to test it out. At my marina, I have pretty good reception from the single pole antenna, line of sight for digital TV. Some spots are no go. Once you get the antenna fixed, get a small tv set and try it out. You might get lucky and have good signals.
Here's a good BoatUS article on the subject.
http://www.boatus.com/husick/techno11_01.asp
Myself, a couple of local channels and an iPod will suffice. Every now and again, we'd want to see a show at night, movie, recorded TV series, whatever. If you have a DVD player on board, or an iPod or whatever, the possibilities are endless (almost).