That's all really good advice for a soil grower. I never heard of the potato trick but that's cool! The op is using hydro rings in a top fed drain to waste coco coir mix. Sticky traps are probably the best option at this point or they would have to change their entire grow.
I found adding a silica supplement really helped my hydro grows to be more pest resistant overall.
I write in a general way for people reading, even people reading this with a similar problem 2 years from now. I dont have eperience with hydrorings but it may be the case there the larvae are from top to bottom wherever moisture creates their sweet area. lot of that can be applied to their situation to help.
Aspirin definitely, foliar feeding definitely, potato chunks will still attract them for manual removal even if it's just set on the top and sides wherever it can make contact with growing medium, but less effective than when buried slightly in soil. H202 solution flush will kill larvae but eggs can potentially survive that so follow up applications will be needed for future generations. Yeah, sticky yellow traps will catch some adults, the ones attracted to color. To trap the others attracted by smell: apple cider vinegar in a glass with a squirt or half tsp of dish soap to break surface tension stirred in. Cover with cling wrap, plastic and poke several holes in it. They are attracted to the vinegar, crawl in the holes, have a hard time getting out, get weak fall into the vinegar and drown. The adults will cause damage to leaves, yellowing and necrosis. Making a nutrient diagnosis more difficult. Lavae eating the soft tips of roots also complicate nutrient diagnosis because it causes general nutrient uptake symptoms making it look like several deficiencies. With hydrorings the pest problem could be much worse, not just at the top of soil, but all through a more airy coco mixture where moisture remains and never dries out to kill them. I have no experience with hydrorings, but fungus gnat larvae could potentially be everywhere in it unlike in soil where they are only found in the top inch or so. I bet a slice of potato would be crawling with them. The root area needs a dry period to start reducing their numbers. While roots arent doing their job, foliar feeding is needed. Aspirin will allow the plant to mount a defense quickly, instead of weeks from now.