I'm personally more of a reptile person myself, and although reptiles and amphibians are not especially closely related (reptiles being amniotes, along with birds and mammals), they're still often studied together owing to their similarities, so some of what I know of reptiles can be applied to anurans.
I've found in the last decade or so there's been something of a renaissance in herpetological studies with fresh understanding in regard to husbandry, our understanding of their cognition and intelligence and integration of enrichment techniques and training models to help facilitate captive care.
I realise this isn't what you've specifically asked for, but it might be interesting regardless...here's an example of frogs being trained to jump onto a box on command, so their care can be more easily facilitated.
I do something similar with my snakes where I've trained them to come to me willingly, making it easier to access them. Training like this can be both mentally stimulating to the animal and help reduce any potential stress for things like pick-up, weighing or health checks as the animal is motivated to work with you.
In terms of their captive environment, I find animals that have had their needs well satiated are content. In my personal experience I find it's not unusual for my snakes to willingly take themselves back to their own enclosures after being allowed out to free-roam around the room, as they seem content with their homes and see them as such. Having a varied enclosure that allows them to express their full range of behavioural repertoires is the goal.
There’s a really good group on FaceBook called “Advancing Herpetological Husbandry”, this group was founded by professionals in the field (zoo keepers, vets, herpetologists and other such professionals) so is definitely worth checking out. They’re actively against outdated folklore husbandry and myth-based keeping and instead focus on evidence-based welfare.
I know I've not really answered your question directly, but I do hope this reply has been helpful in some way regardless.