Hi, most of us in the tropics don't like insects either so its okay
Not sure on your exact camping knowledge but its generally suggested to have an enclosed 'tent inner' at least to keep bugs out. Cabin of course is even easier, but if you do use a normal tent with some sort of enclosed inner protection you will be fine from crawlies. Just remember to store your food separately from pack and tent as white-tailed rats can chew through the material to get at food smells in the night. I put my food in a plastic screw top can and hang them off the ground away from the tent. Dont worry the rats don't bother people sleeping, they just want to nibble food.
I dont know a lot about whats up at Cape tribulation. It and the Daintree are a northern lighter types of Rainforest, very nice, more open. The southern type is much heavier. If you want to say you have been in forest thick as the Amazon drive about an hour south of Cairns between the towns of Babinda, Innisfail and Tully.
I'll jot it down for interests sake. Campsite hikes in this area are the Innisfail/Palmerston Misty Mountain tracks. These were old bullock routes connecting coastal towns to half a dozen inland towns 60km west on the Atherton Tablelands.Elevation change is 3000ft or so, mixture of mountain bike and walking tracks, with some creeks at campsites, a couple days worth.No bushwhacking needed or climbing skills, but up to grade 5 trail difficulty.https://parks.des.qld.gov.au/parks/mist ... about.html
There are probably shuttles doing the run from Cairns to the Gorrel trailhead where they start, but if not.
1.Regular greyhound bus from Cairns to Innisfail, about a 90min-2hr ride( or an hour by hire car)
2. A 35km taxi ride or drive from Innisfail to the end of Mena Creek Road, the start of the Gorrel Trailhead.
Also there is the Mt Bartle frere mountain walk, which is QLD's highest mountain. Takes about a day to get up and down, no technical climbing, just steep walking. Its about 75km south of Cairns, or about 30 km north of innisfail. There is a well known swimming hole and waterfall at the bottom called Josephine falls which is pretty popular with the tourists. https://parks.des.qld.gov.au/parks/bart ... about.htmlhttps://parks.des.qld.gov.au/parks/wooroonooran/