Here is what I would do (followed by what you should definitely not do):
--Completely disassemble the SP101--I've done this before, it's easy.
--Reinstall the 'naked' trigger guard.
--Mask (with masking tape) all areas except for one--work on one are at a time. Masking the other areas will prevent buffs against the grain. Make sure to mask the front sight.
--Going always with the grain, lightly buff the metal with a scotchbrite pad. Never change direction while on the piece, and resist the urge to go back-and-forth. Take careful note of the grain direction and always follow it. The barrel's grain goes in a different direction the frame, and different flats on the frame go different directions.
--Mask the completed section and unmask a new section, continue.
--when all sections have been restored, give the frame assembly a bath in a suitable oil (I use Ed's Red for this.) Note the use of the word 'bath.' Plenty of oil in a tub. Should cover the frame assembly. Swish the frame around. Tons of tiny green particles from the scotchbrite should be visible now in the bath--leaving the frame.
--Use the same process outlined above on all visible small pieces.
--Dry off excess oil with a rag.
--Reassemble.
--The gun will look and feel better than new.
Now, as promised, what not to do:
Steel wool (deposits new, ferrous, material that can rust.)
Cold bluing (should be obvious on a stainless piece.)
Flitz (or any other polish-this will end up polishing the gun, getting progressively shinier.)
I've done this work before on an SP101. It's not as hard as describing it. Go slow, carefully mask, use a scotchbrite with a gentle touch, and it will look better than new. Good luck!