Hi op.
So far, have you only had blood and semen analysis? Or have you also had HSG and ultrasound? Push for these if you've not had them.
Re. Blood results, if your amh is high, can be an indicator of PCOS; ultrasound would confirm. Letrozole is a good treatment for Pcos; I'd be asking for letrozole plus progesterone whilst you wait on fertility clinic referral. They may be hesitant eith progestetone unless you've had 2+ losses - but ask anyway.
IUI (in my opinion) has quite low success rates. Depending on your age and findings, I'd consider moving straight to IVF.
Age and findings, plus referral wait times, would also determine whether I'd be moving straight to private. Some health authorities will allow some private rounds and still offer nhs so worth looking at guidance in your area.
If any issues with your findings crop up, or you're close to 40 - I'd at least ask if you could be prioritied for referral.
In terms of what you can do, COQ10 or ubiquinol is good for egg quality (I used with pregnancare plus many other vitamins!), and impryl is proven to have positive results for sperm.
The most important thing in this process is advocating for yourself; understand as much as you can and what you can ask for (as you are doing ☺️) and push for what you think you need.
Best of luck! Sorry you are going through this, but there is hope :) I have a 17 month old from my first round of IVF :)