Like everyone else, I think this is a completely personal preference question. Our story is we tried for over a year at home, no medication, OPKs for timing but we had a KD so the money wasn't that big of an issue as each cycle we only paid for travle and hotel for a couple of days. We then discovered that wasn't going to work so we went to plan B, the RE.
When we met with an RE and talked to him, we felt we wanted to use medicated cycles out of the gate after my blood tests and monitoring cycle came back. We wanted to increase our chances as we were going to be paying about $1200 per try between monitoring, sperm and the procedure (all OOP). We also wanted to increase the odds of each chance as we knew we only had limited chances before we would have to take a break due to finances. We got our BFP with our twins on our first medicated cycle. I am not attributing it to the meds, but more the timing, heavy monitoring and luck.
If I were in your situation, I would at least advocate for the trigger shot. You responded well on your own for follicle growth so one more unmedicated cycle I wouldn't throw out the window if you truly want to try another natural cycle.