To change a data.bin to the format SaveGameManager can use...use FE100
http://www.wiibrew.org/wiki/FE100
Once you have converted it you can use SGM to install it as long as the 2 conditions are met = 1-played game on the wii before, 2-you have any old save for that game on the nand to be overwritten (you're daying yes to these, so cool)
That should work and shouldn't result in errors, but imho make backup just to be safe.
If for any reason SGM cannot install the save then you can use Nicksasas FSToolBox to write the files to the nand..BUT FSToolBox is an extremely dangerous tool if you don't make sure you are deleting and replacing the exact files you need.
So.. go with option 1
1 - make a backup of your data.bin
2 - get FE100 and extract one of your copies of the data.bin
3 - locate the data inside the save (they are all different, but usually are a .dat, you don't need the icon.bin)
4 - Load up SaveGameManager GX on the Wii and install save