If downtime cost is non-zero and money is an issue, you can try Oracle Linux. It is free for download & use / deploy, includes optional support, and it is compatible with Red Hat Enterprise Linux and CentOS.
A lot of people argue that Redhat develops RHEL, so they pay Redhat for support. However, that is not fair to the other contributors - the Linux kernel is developed by many others including IBM, Novell/SuSE, AMD, Intel, and yes, Oracle. Redhat packages a lot of code from many open source projects (I know that is a lot of work), but most of the code is not contributed by any single individual or company. For example, filesystems like Brtfs & OCFS are developed by Oracle, and performance fixes including OLTP, Infiniband, and SSD disk access, NUMA-optimizations, RDS, async I/O, OCFS, and networking are contributed by Oracle as well. And the Oracle "Unbreakable Enterprise Kernel" is developed by Oracle and licensed under GPLv2.