Did a search for likely HKG-related terms but found nothing so hoping someone else has experienced something similar to this...

I am booked on a nice TK C fare LHR-IST-HKG return. On the return leg I will actually be flying in to HKG from TPE on CX about 6 hours before the HKG-IST flight (separate tickets). On THY.com HKG is listed as an OLCI station but not a PYOBP one - so I will be stuck for trying to get a BP in transit (if I am on hand luggage only) or perhaps even landside if I'm checking a bag and CX won't through-check.

Anyone know if this will be possible? Who handles TK at HKG and will I be able to get checked in? TK are not listed for ITCI on the web as far as I can see so I'm fearing there will be a very small check-in window at HKG and I'll be a bit stuffed here...

Thanks in advance.

Edit: I see they're handled by Menzies and there's a transit desk at W1, but still struggling to find times.