Hi Joey, read your trip report to Cairns and Port Douglas. Reads like you had a ball.
Mate, with any advice, it's up to you to take it or leave it but realistically, I would recommend you upgrade up to 80lb (and preferably 100lb)if you want to pop for GTs. The reason why I recommend this is not just from the perspective of the fisherman but also the fish.
You will land more fish with heavier braid and gear and it will also give you a chance on those bigger fish which realistically, you have almost no chance against on 60lb unless you just get dead lucky. Big fish and shallow reefs are a bad combination. Heavier braid will also see fish landed faster which will see them back in the water in better condition.
Also, I note you still have barbs on your hooks. The philosophy of this forum is to do whatever we can to release the fish in the best condition possible. We strongly encourage the use of barbless hooks as part of this philosophy. On 60lb, you are going to lose a lot of fish and if you're using barbs, the reality is there is a reasonably good chance a number of these fish are simply going to be unable to feed and will die.
Rods like the Komodo, Tokara and Shimano GT are useable with lighter braids but are probably best with PE8-10. A PE6-8 rod is probably what you're looking for. There are a host of rods in this weight category. All manufacturers of GT rods would have an offering in this weight category. The Smith 80P/35 is a nice stick as is a Hots 79XH or 83H. Carpenter has some magic rods in this category like the SP80M or SP79M or Coral Viper CV79. Good luck finding a Carpenter though. Ripple have some nice offerings as well aroudn this weight category with the GT78F and GT79R.
Zenaq also have some good offerings in this category like FC-76 or FC-83 as does a new company on the market, Patriot Design.