Being Selective w/ Interviews

Inbounds from firms conducting off-cycle recruiting are starting to come in frequently, and I am wondering how selective I should be with who I respond I am interested to? I have general criteria of what I am looking for and a lot of these inbounds meet the criteria (Size, industry, historically solid culture, geography), but I'm nervous that I won't be able to interview at so many different places in the same time frame. Can I simply say I am interested and if I make it to late stages with those I'm more interested in drop out of the other processes? Or will that piss off HH? Is it beneficial to just cast a wide net and see what I catch?

Any sort of advice welcomed.