I think we've covered all the bases here, but a small aside based on MIHCs comment:
You can hold a CIR without a NVFR.
This is technically true, as you can acquire a CIR endorsed for "Day Only" operations. My understanding though is that such an endorsement is usually only applied in a case where the pilot has a particular medical issue or other reason for not being able to fly at night, rather than simply choosing to test for a limited rating.
Consequently, unless you are one of those particular people, you would need to have an NVFR rating in order to accrue the 5 hours night command required for you to sit the CIR flight test.
Interesting to note also that this particular recency requirement has been a problem to a limited degree in my company lately - during daylight savings time night ops are reduced substantially and it becomes possible for pilots to miss recency requirements, resulting in circuit time with a training captain!