Having mentored a lot of college grads and also interviewed a lot of candidates, it's actually extremely rare for people to line up a huge number of interviews in a single week. It can be done if you really, really treat it as a numbers game, but it's not how most people do it.
> Take homes are untenable in that situation as half the interviews would still be a full workweek
Take homes shouldn't be taking a full workweek.
If anything, take-homes make it easier to stack a lot of interviews because you can do them at your leisure in your own time.
> I was already interviewing 4 hours a day with 3-6 people
I think this is the disconnect: You're taking time off of work for live interviews, but take-homes come out of "extra" time. If you're interviewing full time, a take-home is still more flexible than a live interview.