I'll typically give out 3 slots that work for me and "if none of those work, propose a few days next week where you have availability and I'll offer additional slot in those days".

I've only had that go more than a couple rounds when trying to setup meetings with someone incredibly busy (and those people often have assistants that I can work directly with to find a slot). I'm not opposed to getting on a phone call to setup a meeting, but only after the vastly more efficient method has failed twice.