I remember that passport control can be a shocker there as everybody arrives at the same time.
My usual strategy is to do the exact opposite. I love to doodle, but you could just as easily sit and read a good book. Get a seat as far back as you can. Let everyone else rush off and join the stampede.
Essentially - wait until you are forced
out, and you will join the tail end of the queue. Only problem with ANU is that BA want you off asap to continue on - I have used that route for SKB, iirc it alternated with GND. Border staff tend to get less officious back here too - they just want to get to the end of the queue (subjective observation).
I know this is completely counter-intuitive when you just want to get out and enjoy your holiday but there are reasons why the cheap seats are at the back! Many terminals have seats in the arrivals hall too - ANU has been moved around quite a bit since I was last in the terminal.
You'll also have to wait less for your bags - and if your hotel is putting a bus on anyway you will just join at the back.
SKB is much worse - iirc only 2 x 2 desk booths. I waited 90 mins to meet my brother once - he was behind a 757 but it was dropping a full load. This time round I'm doing CDG-SXM (avoiding £75 APD + minimal immigration) - and then to NEV in a twotter. Now that's one flight when you MUST sit at the front and there aren't any left-turners to get in your way as only one seat type