Go figure. Personally I recall that the conditions were definitely more challenging in August and the water and air temps much cooler than June.
A trilam might be risky, neoprene or compressed neoprene is probably safer. I was fine diving wet both trips, but would have appreciated a drysuit on the August trip, especially in the southern islands where we saw temps in the 50s (water was 72 at Wolf and 74 at Darwin but it was still cold after repetitive diving and positively freezing on the days when it was rainy, overcast, and windy). In the northern islands it was hard to get cold underwater, especially when chasing down whale sharks on every dive, but the skiff rides back were shiver fests.
I'm the opposite as you, prefer diving wet so I don't have to fight with a drysuit. Just consider that for much of the dive at Wolf and Darwin, you'll be clutching onto barnacle infested sharp rocks, and if you take photos/video, that means you'll be clutching with your knees at least part of the time. I did a good job shredding my wetsuit and gloves might as well be thrown away after the trip - make sure you bring an extra pair! I used a 5mm FJ, no hood, and added hood and a 3mm shorty for the colder waters down south. Either way you dive, wet or dry, layering helps, though we had one nut (Joe!) aboard my last trip that was so cold he tried layering two 7mm suits and needed over 40lbs to sink