You can always be creative: Transponder off for the crossing, then touch and go at a small CTAF aerodrome, e.g. George Town in order to switch transponder on during the roll and on to Burnie. That's it, methinks.
Of course there will be a telling gap between flights if you look it up on the likes of flight radar but I'd like to think that government is currently busier doing more relevant things than running consistency checks on private GA aircraft.
Obviously, don't ask for SKEDS.