I would recommend a small UPS like the ones that you can get from APC... Here is a site.
If you go through the options it should tell you which UPS would be best to use.
http://www.apcc.com/solutions/index.cfm?segmentID=1
You can always take the part number down to your local computer store and see whether they stock or can stock them.
I am not familiar with the "inverter", but I am sure someone else would be able to assist.