Wondering if this is doable? Looking to under take the swap! I currently have a heavily modded ctsv v2. So have stock parts laying around.
You don't specify whether you are wanting to do a complete engine swap, or just install the LSA blower on the stock LS2.
If you're considering just swapping the LSA blower, it won't work unless you also swap the heads. The LSA blower will be set up for a rectangular intake port. The SSR is running cathedral port heads.
If you want to transplant the complete engine, your biggest challenge will be getting things like crank and cam sensors to talk to the SSR's ECM. Alternative would be to transplant the LSA with its electronics, and somehow get the LSA's ECM to talk to all the other SSR electronics. The newer engines including the LSA use a 58x reluctor, the SSR has a 24x reluctor. Cam sensor on the newer engines is a 4x, SSR runs a 1x sensor. Replacing the cam and crank would be an expensive proposition, but the SSR ECM doesn't communicate with the newer components.
I think your first step would be to contact someone familiar with the various ECMs, and find out what is doable.
If you do make the swap, someone like Joe at Left Coast 32 would need to update the ECM.