We have the same issue with our ballet company and the lack of DVD drives in laptops, or dancers simply using iPads instead.
I recommend a product called Wondershare (or any watermarking software). I had my company buy it for my work computer. I add text and sometimes a water mark to our videos, put them on Vimeo and send out a link with a password. You can remove the embedding option and lock it from being downloaded. And if you don't want it to be shared, just change the password the next day and then no one will be able to view it.
I only tout Wondershare because every day my staff and I find out something else it helps us do. When we don't have a rehearsal CD, it quickly rips the audio off the DVD for us - and makes it easy to cut up tracks to make a CD. Need a still from a DVD? It does that too. Upload a DVD video with watermark in any platform? No problem. It's fast and easy to learn, which helps.
Also, not to be negative, but depending on your company and the contracts you have with the choreographers, trusts, etc - they may not allow videos. Then you can tell your dancers they can borrow the DVD, if they watch it onsite in your studios. Then you don't have to worry about videos leaving the building or dancers not having DVD players. We've gone that way as well. (It's actually our current policy that no one gets to take any videos home - they have to watch it on paid time in studios if they want to watch one.)