You can use SurfToSurf to map data between the original mesh and the standard mesh. The example is tucked away in the
MapIcosahedron documentation here.
Say you want to map another (SOMEDSET) dataset defined on the
orignal mesh onto the std.60 mesh and use the same mapping derived
by MapIcosahedron. The command for that would be:
SurfToSurf -i_fs std.60.rh.smoothwm.asc \
-i_fs rh.smoothwm.asc \
-prefix std.60. \
-mapfile std.60.rh.niml.M2M \
-dset rh.SOMEDSET.gii.dset
The other option is to run your initial stats (say with afni_proc.py) on the standardized surfaces and then you can just run the Group analysis programs from there.