Dunno if there's a route with EE, but I know for a fact that it's highly impractical and extremely resource intensive to make an ice factory with any combination of IC2, BC2 and RP2.
Of course there is, EE is just silly, it's like cobble -> dirt -> sand -> glass (though that might take a furnace) -> ice
Or you can go Obsidian -> lapis -> ice
1 Obsidian = 8 ice so... you'd need 163 stacks of obsidian to make the ~1300 stacks of ice / cycle required.
You can figure out how many obsidian aggregators that would need
Or it would be 2 cobble -> 1 ice (but it requires cooking 8 sand into glass) so 2600 stacks of cobble and 10400 furnace operations for 1300 stacks of ice.
[Ed: then again it was a while ago that I even looked at EE stuff, so it might have changed, never actually used the mod myself]