This app was mentioned in 14 comments, with an average of 2.71 upvotes
It is not possible to watch youtube using this browser. To watch youtube you have to get the youtube app that the same developer made. https://play.google.com/store/apps/details?id=com.appfour.weartube
I have not seen an app where you can load up your phone with files (M*A*S*H episodes, in your case) and stream them to your watch. There is an App that you can watch Youtube with, it requires wifi. https://play.google.com/store/apps/details?id=com.appfour.weartube&hl=en
I don't know why the other replier insists it can't be done, but there's an old app that claims to have a stand alone mode (I haven't tested it):
https://play.google.com/store/apps/details?id=com.appfour.weartube
Edit: I just looked at your website, the app I linked says YouTube, I don't think it'll work. There's also an old full featured web browser for Wear, not sure if it'll manage your stream but it's worth a try:
https://play.google.com/store/apps/details?id=com.appfour.wearbrowser
VideoWear also uses the speaker.
https://play.google.com/store/apps/details?id=com.appfour.weartube&hl=en
they also have a player to stream galery videos from your phone that uses the speaker.
Here are a few powerful apps I find useful: Youtube for Android Wear, Web Browser for Android Wear, Mail for Android Wear, Wear Messenger used with Minuum Keyboard for Wear, Hand Dialer, Android Device Manager(find my phone from wear), Wear Camera Remote, MyRoll (photo gallery for wear), Google Maps(shows up on wear after 5.1 update), Wear Fitness Trainer(detects your workout/# of reps), My Tracks
Here are a few powerful apps I find useful: Youtube for Android Wear, Web Browser for Android Wear, Mail for Android Wear, Wear Messenger used with Minuum Keyboard for Wear, Hand Dialer, Android Device Manager(find my phone from wear), Wear Camera Remote, MyRoll (photo gallery for wear), Google Maps(shows up on wear after 5.1 update), Wear Fitness Trainer(detects your workout/# of reps), My Tracks
Devs have done a great job creating various apps that extend to Android Wear its just the matter of finding them. Just search Android Wear in the Play Store.
Never say never
I know, I "used" Video Player for YouTube in the past, but this app is beyond bad as it did not work most of the time at all.
Hi! This might get the job done: https://play.google.com/store/apps/details?id=com.appfour.weartube
If it doesn't, there's really no other way, sorry! You'll just have to use your phone.
There you go: https://play.google.com/store/apps/details?id=com.appfour.weartube
Haven't tried it myself, but according to the description this really can do all you want.