I've come up with about 20 of these loopholes and since there is no concrete definition of what a tour is or what it has to entail, we're free to interpret it as we see fit until they come and take me to jail, right?
Not the way the law works but I guess that is one way to conduct business.
We have a similar statutory system here in Texas where a brewery can only have a taproom with bar sales if the brewery has a particular type of license that places a ceiling on production. The normal brewer's permit limits breweries to either a limited number of free samples or they can sell a tour which includes a free glass and three or four beers. Most breweries offer "tours" a couple times a week in a 2-4 hour block in which one or two tours are offered but obviously a patron cannot be forced to walk the tour.
Whether your state regulators will permit the screen-based tour is a question for your regulators. I couldn't tell you whether you are better off taking that path and begging for forgiveness if caught or asking for permission ahead of time but you (or your attorney) should first take a closer look at the administrative rules not only for a particular definition but how the regulators are likely to interpret the meaning of a tour under the statute.
Something else to consider is that the tour is an opportunity to round people up and give them a sales pitch on more than just the taste of your beer. Will a video maximize that opportunity? Can you afford the staff time to give a tour? I am sure everybody will get extremely tired of giving the "Beer is made of four ingredients..." speech in short time but people enjoy seeing the equipment and if you can make a few merchandise sales out of the tour then maybe it's worth it.