I would be careful with getting the medicals done now. Even though it appears as though most PMV applications from the U.S are hearing from CO's around the 5-6 month mark, the website probably has a different timeline. You just want to be careful that there is no risk that your medicals could expire, although I have read that CO are able to extend them in some cases.
We waited until we had a CO contact us requesting the medicals. We had to wait a few weeks for an appointment but at least we know that there is no risk of them expiring. But I guess everyone is different, so you need to go with what you feel comfortable with.