I well know what you mean I was in a junk shop last week that had a tea/coffee strainer that lifted out of a glass pot, obviously so you could pour boiling water through this and allow your tea leaves/coffee grinds to steep. I almost grabbed it for hop teas but swmbo was there. The size was about right to fit in the top of a cube but I'd say you'd need to empty it a few times when draining a kettle. Failing that there are a few places (yes mostly in the states) doing hop baskets send them an email, you may well have come up with their next big thing.
I'd get one!
MB