I have 5 FBTs and they live in a mostly aquatic setup with lots of land mass to crawl up on. It's only been a few weeks that I've had mine and I used to lay out a paper towel on the water for the crickets to walk on and the frogs to see and seize. If the crickets were super jumpy, I put them in the freezer for a few seconds to cool them off without killing them. Then I use chopsticks (instead of buying feeding tongs) to keep the crickets on the towel. The frogs are now just taking the crickets from the chopsticks. They don't even wait for the crickets to wiggle... so I wonder if they would eat them if they were dead...
On a side note, I also have a vermicomposting bin with European Nightcrawlers instead of red wigglers (I was told that reds emit a foul taste when injured). The bin is odorless, so might that be an option for you?
I've never heard the crickets that I have make noise. Now the frogs - they bark all night! I guess that means they're happy... or horny... or both?