For anovulatory cycles, is it possible to receive treatment with Puregon/HCG trigger to induce ovulation, but DTD rather than having an IUI or ET?

I only ask because I have always responded well to Puregon/HCG, but Clomid doesn't seem to work for me. DH has poor sperm count and motility, but we're not really ready to jump back into full-on AC at the moment, as we've recently had an unsuccessful FET (1 embie) and our other 3 embies didn't survive the thaw. We can't really afford to do another stim cycle at the moment either.

So, is it possible? And would it have to be monitored by a FS or an OB?