H200 -> PERC5 will certainly NOT work. They are not even comparable/compatible controllers. You would need to do a hardware-independent backup and restore. Moving to a PERC 5 is crazy - just get an H700.
I'm assuming this is a supported migration path, however I'm trying to find documentation on the exact process and haven't been successful so far.  I've seen comments regarding other controllers (i.e. Perc 6i/R to a H700) stating that importing a RAID with the OS isn't supported (OS will bluescreen).  So I guess my question is, is this a supported migration path?  What are the exact steps?  I'm assuming I just pull the 6/i, put in the H700i, boot, update drivers/firmware, and done.
R710 - Migrating Perc 6/i to H700i