Presently there are two rakes bro. One for SC - LTT and Another for SC-VSKP AC and SC - Shalimar AC.
Additionally, the break up of 20 coaches is also required. Then only we can comment.
As the write up is saying due to lack of Power Cars, LHB coaches are being transferred, I assume that they are inclined in passing AC coaches to SCR. Then in that case, 12775 may be a contendor.
And...
more... i personally wish to convert 12775 to LHB rake, as it charges a higher fare than other normal SFs. So when paxs pay higher, they are liable to get good offerings. and my wish stands if and only if COA is eligible to mainatin an LHB rake.
Also for running hybrid rakes Power Cars are not required. For ex: Nagpr Mumbai Duronto.