Making B or C special due to age will not change the course of A at all. If there are a few claims in A that you would really like examined quickly you could include them in an expedited B (if a CIP) and cancel them from A. Note that an application made special for age has a limit on the number of claims.
CIPs are not as magic as people sometimes think. Any claim in a CIP that is 100% supported by the parent application will be treated with the priority of the parent but any claim that needs even a small bit of support from the new matter will be treated exactly as if it had been filed when the CIP was actually filed. If that is a year past the publication of A then A can be used against it as if it was some random reference by someone else. The new mater claims of B will not be granted if they are obvious in light of A. See this article.
It is possible to add a claim of priority for some period (4 months) after the filing date but that would have no effect on claims in C with new matter unless A was published a year or less before C.
If it has been a year since the parent published, a good reason to have a CIP is that you think there are claims not made in A that could have been made in A, and separately you have something (related to A) new to disclose and claim and want to do both in one application to save money.