The problem with wireless is that they are susceptible to any number of problems that can degrade performance. Problems that might not be evident during testing. With non-streaming media, momentary outages are not a problem. The web page is just a bit slow to load. With streaming media, any degradation, even momentary, can cause a problem.
There might not be time this time around, but if this is to be a regular thing, I'd highly advise working on getting a jack installed where it can be used. Just make sure you don't exceed the maximum length for the run.
Have you searched the Wiki
Try using a Google search by adding "site:tech.lds.org/wiki" to the search criteria.