One nice thing about community ... different thoughts ... more than one way to x, so to speak ...
Maybe the way to know if 1.9.5 backups work with highest version of 2.2 is to install a local 2.2.6+ (which has already been suggested), backup a 1.9.5 course from server, and attempt to restore it in the local 2.2.6. If it works and there are no issues - minus users even if included in the backup - then you've a plan which might require even less muss and fuss. ;)
Much depends upon the mods/blocks used in the 1.9.5. Any add-on mods/blocks? Those won't go unless a like version for 2.2.6+ has been pre-installed - and even then, there might be issues.
Which requires the least amount of work ... take the path of least resistence. ;)
Just an additional thought and my 2 cents!
'spirit of sharing', Ken