Once upon a time I had two job offers in the same week. Pretty much the same salary, too, but one was a tad bit higher. When I went in for discussions about it, I asked outright how they feel about employees commuting by bike.
The first one (the wee-higher salary) looked at me funny and said, "well, I guess you can use the gym's shower. I'm not sure about that." They had a gym to promote fitness, yet didn't have a clue about bike commuting.
The second one had a bike rack (with bikes in it) inside the lobby and a commuter shower. When I asked about commuting by bike, they smiled and said, of course!
You can guess which one I took. I was there for four years. When I had to go to a meeting, I took a cab, rented a car, or took Metro (see above).
So, if it becomes an issue for you (sounds like it already is), you might want to look around at alternative places to work if you and your employer can't find a workable solution.