As long as the enclosures are compatible with the drive you would like to put in, you should not have any problems using it as storage for your games and should not experience problems with loading or freezing.
if you want to record your games on different drives, I would say you need to build some sort of a RAID (0 or JBOD SPAN) and spread your installs across multiple drives. Although it is probably possible, it is not recommended since you would be using different drives in different enclosures with probably different cables (and thus slightly different speeds) which can cause problems.
If you would like to have a RAID, I would change my drives in the laptop and put to identical (same size, same manufacturer, same series) or get an external enclosure that supports multiple drives and RAID and again put identical drives to avoid any compatibility issues.
Here's an interesting thread on RAID types, if you are interested:
http://www.tomshardware.co.uk/forum/259807-32-raid
Captain_WD.