We have no information regarding this combination, in theory they should work together.
If you can use a standard length bolt carrier I can only assume the buffer tube will be carbine length. It makes no difference what stock you use. Put a regulating gas block (Superlative or Aero Precision) with an Odin Works adjustable buffer in H3 setting and a Strike industries flat spring. Your binary will be solid.
NO!!! I have tried several different combinations, spring weights, buffer weights (yes the correct buffer length) gas port size, and different bcg's. Once I replace the stock assembly to a standard carbine length tube the rifle cycled correct. 12.5" 300blk with Franklin trigger. If someone has got the pdw stock and Franklin trigger to work correctly I'm listening. All help is appreciated.
This will work with a Franklin binary trigger. I cannot attest to reliability as I have not put many rounds through it yet. But so far has work fine on 5.56 upper in all modes and 300blk in semi with no issues.