That's why they invented electrical tape and garbage bags. Seriously.
When I was a V8 Supercars photographer it was raining, one of the most experienced and respected photographers in the country proudly pulled out his bright yellow JB Hifi bag and taped it to his camera. This was also the method used by 90% of the other photographers in the media room.
I shot for years without weather-sealed lenses or bodies back when I was using Pentax (film & digital), just garbage bags with an eye hole cut in it and some electrical tape. It also makes you a better photographer, you can't chimp because the LCD is covered you learn to trust your meter (but if you don't underexpose by 1/3-stop).