Actually, if all you are doing is starting with a known ortho view, why would it matter if one already existed? You can always pick that one right off the list from the graphics toolbar. Why not create it on the fly with the mapkey?
One thing about the angles accepted by the view dialog... it truncates to 3 places. In my book, this isn't good enough. However, my method would benefit from a mapkey or UDF of some sort.
I create a cubical (equal on all 3 sides) surface; place planes; orient to those planes; delete the features; and save the view. This is accurate to the n-th degree (whatever PTC determines that to be). A follow on from there is to have the view dialog create the other 7 equivalent ISO views. Now you're ready for anything you need in a drawing.