A couple of things to discuss here - some have been hit on above.
First 220mg/wk test is a high dose for TRT. To put you at "normal" would be more like 100 mg/wk, so this should be double normal. Maybe not what you are looking for in the gym with regard to a blast, but keep that in mind that you are above the top end of the range for TRT. This was mentioned above and I'm reinforcing that sentiment.
Second is the shot frequency. Once a week is probably ok for Enanthate with it's 10 day half life. Cyp at 8 days is a bit less good. I'm a fan of twice per week. To get into that mode you'll have to do the shots yourself, so your clinic will either have to agree or you'll have to move on to another. I agree with what was said above that once per week puts your high at a very high level, hence the excess estrogen, and then by the end of the week you are down at normal 768ish. Break that into twice per week and your high will be lower (good for preventing estrogen) and your low will be higher (good for feeling better). Ditch the clinic if they won't let you do your shots yourself.
Third is the adex. 1mg/wk is enough for a 500 mg/wk blast. It's way too much for your 220mg/wk. Break the pill into quarters and take one quarter every 3.5 days. You may need even less than that if you get into something more practical like 200 mg/wk split into every 3.5 days. One further point here - if you do blast at say 500 mg/wk the 1mg adex per week is a good amount, and nice to have on script.
This all takes time, and probably more blood tests than you want, to get dialed in. What is your clinic going to do regarding the frequency of tests? You mentioned once or twice a year, that won't cut it during the dialing in stage.
And fourth is HCG. If you try to research opinions you'll find them all over the place, so it's almost not worth trying to figure this one out based on popular opinion. I'm a big fan of it. Use say 250 IU twice per week and it will keep your balls humming along, so they don't shrink and you don't run into other problems like your adrenals eventually burning out. Great for libido and performance too. If you throw this in it will boost your test levels a bit, so it's important to get dialed in with it in the mix. I doubt your clinic would prescribe it for you, if not then that's another reason to ditch them.