The phrase "a reason that should" is correct and usable in written English.
It can be used when discussing justification or rationale for a particular action or decision that is expected or advisable.
Example: "There is a reason that should compel us to reconsider our approach to this project."
Alternatives: "a justification that ought to" or "a rationale that must".
He told me that the Pew did, indeed, look seriously at giving financial backing to a Web-only news operation in Philadelphia but decided against it for a reason that should catch the attention of anyone hoping that foundations are the future of muscular news-gathering: It did not want to give birth to a long-term money drain.
Positive Legal Moralists hold that immorality is a good reason for criminalization not necessarily that it creates a presumption in favour of criminalization, but that it provides a reason that should carry some weight in our deliberations (see Feinberg 1984: 27; 1988: 324).
I put it in there for a reason that should be very obvious now: because it was something I wanted to incorporate in my writing.
Although I saw the What You Will treatment before seeing the Twelfth Night treatment, I'll discuss them in reverse order for a reason that should become clear.
Some buyers initiate their shopping in a physical store, and then buy from an online store, but this does not take place nearly as much as one might think - and it happens for a reason that should worry retailers even more than showrooming itself.
Men often assume that if they offer a good enough reason, that should be fine for her.
Consult with your physician to make sure that your fatigue doesn't have an underlying medical reason that should be treated through traditional medicine.
A third choice is Richard Hadlee, for reasons that should require no special pleading.
He bombed, too, for reasons that should be obvious.
Conversely, I don't like Jane Moore and I'm struggling to find a reason why that should change.
Derek hadn't known him, there had never been a reason that they should have known each other, but even so she talked about him.
