I can think of one way but it isn't cleared for passengers.
Turn left at Selhurst. An early signalling stage could make that chord suitable for passenger trains and allow reversing in platfrom 1, but not a good place for a reversal
Turn left at Balham, via Crystal Palace, turn right at Bromley Junction.
But how to reverse at Norwood Jn?
It could also terminate at South Croydon, as used to be the case.
Not ideal to block the middle bidirectional road during the reversal.
Terminate at Selhurst, then run empty stock via chord to depot and reverse in siding next to carriage washer road.
Anoher option might be to do a big anti-clockwise loop. Left at Selhurst, via chord (upgraded for passenger), through Platfrom 1 at Norwood Jn, then turn left to Crystal Palace and back to Balham.