A couple of things to consider. As has been said the head on the bridgeport is designed to moved, the problem is everytime you move it, you then have to set it back up square again. A lot depends on how often you're likely to want to move it, and how fussy you are about setting it up square again.
If you're likely to want to move it often and are not so worried about setting it back up square afterwards, then I'd go for moving the head.
If on the other hand if you're not likely to want to move it often and you are particularly concerned about having set up square, then I'd look at some of the other option.
For my money I'd look at getting a 45 deg cutter likely to get a fair bit of use anyway. other angles might want other solutions. Other common angles like 45, 30 60, even 27.5 you can probably get ready made cutters.
Another thought if you intend to make a lot of these, how about making a purpose built jig to hold the part at the right angle and go for it.