Hi all, long time lurker chiming in. In addition to the good comments already posted I will offer that I don't think that it would take much selling at all to get this going. What you have prepared is sufficient and should really be more than you need. I'll bet it doesn't take much to convince them. Good luck with it.
Many private companies are doing everything they can to get their employees in better shape: mine has sponsored gym memberships, weight-loss challenges (with $$$ prizes), installed a basketball half-court, walking programs, stop-smoking programs are huge, healthy foods, and more. I'll bet that your employer has already done things too. I have no doubt that they would install a bike parking area in the employees needed one. Maybe you could even facilitate a commuter group and/or organize a company team for charity/fun rides.
It's not much to imaging a hospital providing whatever you need. They could keep it simple and under the radar or turn it into a pilot program which other hospitals would follow. It's just a great idea.