It sounds like a good idea however, CP's will not eradicate the problem. If they have colonized the substrate they are there to stay. On the other hand, they would be an interesting addition to your enclosure and would definitely do what what they could, to the best of their ability. If you are hanging pots or baskets around the perimeter, you should have no concerns about toxicity because they will be out of sight and reach (?). Drosera come in many forms, many flush to the ground. Another CP is Pinguicula (butterwort) which is flush to the ground, and they love to feast on gnats and reward you with beautiful flowers. Venus flytraps in general are not gnat eaters (gnats are too small).
You can also grow different plants alongside each other, pings, drosera and utrics and assault them from all angles, above and below soil.
If you decide to incorporate CP's, just do you homework on the plants you decide, make sure they meet your growing conditions. These are considered hot house conditions, and while you have a lot of options, not all plants will thrive. Good luck