It won't happen in 2 months, period. Too many obstacles.
LS3 swaps are all the rage but what is the end game? A reliable car or a hot rodded Rolls?
Better ways to accomplish both.
Does the owner have emissions regulations to deal with in his state or country?
It would certainly be a Unicorn with no resale value once done.
I'm not trying to be hard on you (just being practical) but having done engine swaps in a previous life if you don't know how or have the ability to make the engine mounts yourself this is not a job you want to tackle.
Engine swaps seem from the outside to be a simple process. They are far from that.
On a Rolls now you are into suspension design and remake, braking redesign, exhaust redesign, emissions qualifications, fuel system design (both liquid and vapor issues). It goes on and on.
The customer would be far better off taking the same amount of money fixing all that's wrong with the basic car .
There is nothing wrong with keeping a good running Rolls motor. They can run forever if properly maintained.
If the motor is bad one is better off finding a good used motor and putting it in the car. That's a big enough job on a Rolls in it self.
If it was an American car you wanted to do the LS swap in I'd say go for it but into a Rolls? You are ;looking down a deep dark hole with that one.
And just as a point of reference - Most inop Rolls are not sitting in garages because the engine is bad They are there for other issues NOT the engine.