Problem is that it's such a reasonable questions that no one is likely to commit to saying no. So, like me, they are waiting for someone else who may have a solution.
But since they haven't, I'll test an idea I have. It will take a while. I don't normally keep music videos on my iPad, so I've got to do some syncing.
I'll be back and let you now if I've found a way, or whatever.
It's similar to a question someone had earlier about being able to have his music videos play one after another, instead of having to start each one. I don't believe anyone had a good answer for that either.
Ok, sync done, and no, I don't have a good answer. I though if I created a play list for videos they would show up organized in the Video app. But they don't. You can view them in the playlist on the iPod app. But when you play one it takes you to the video app. And when it's over you stay there. So, it's manually back tot he iPod app, and start over.
If you are willing to abandon the video app and iTunes you can save them in something like GoodReader. That will let you store them in folders. They will still only play one at a time, but you won't have to bounce back and forth in different apps.
Some of the third party video playing apps might do what you want also. You'll have to search the App Store on you own for that. I've no experience with them. A quick search a couple days ago didn't show any that would access and play from the iTunes library.
As long as you are at home, there are a few programs that will use your computer as a streaming server, and can access the iTunes library. They require that your computer be on and have a companion program installed.
Again, check the App Store. Search for streaming, streaming music, or similar. Also search the forum here for those terms. There have been several informative discussions on various home streaming solutions.
Now I've told you everything I don't know.