As far as I know NASA's chaplaincy is pretty much all military. If this is something that interests you, one possibility is to to become a military chaplain. There are all kinds of possibllities that do not necessarily tie you to a parish, but the parish experience is probably a good one for you to have as you start out your ministerial career. Once you start to branch out there are numerous opportunities such as teaching, relief work, seafarer's minstry (called Apostleship of the Sea), airport ministry and so forth.
By all means keep looking at the possibilites, but also don't necessarily restrict yourself by not going into a parish, at least at first. I also share your desire not necessarily to be a parish priest, but also there are other possibilities that must be discerned. Above all, it is about what God wants for you, but your desires and God's do not have to be mutually exclusive.
The customer isn't a moron, she is your wife -David Ogilvy