For twin HS4s the AAA swing needles are a pretty good starting point. Very similar profile to the number 7 fixed needle which was supplied by BL in their Special Tuning twin HS4 set in the early-mid 70's.
Would recommend taking a close look at the dashpot springs and the damper. For your set-up I think the blue springs will work best - reds are likely to make it way too rich.
For the dampers the twin HS4s normally use the AUC8114, rather than the AUC8103. If you look on the top of the black plastic damper cap you should find the numbers.
I've found that the Twin SU HS4's on my 1380 are from an MG (AUD325A). Would that change anything in regards to needles and springs?