Hi and welcome
There is a huge amount to read here, with knowledge gained from years of experience of CH. So read up but also ask any questions you have.
Oxygen is pretty amazing at how well it can kill off CHs. Have you read our oxygen info page (clusterheadaches.com/o2.html)?
7 lpm is a pretty low flow rate so jumping to 25 lpm should be much more effective. However as you say, when they wake you at night they are already well developed and so are harder to kill.
Having 10 CHs a day must be pretty tough to deal with. But you seem to have abortives to hand, so at least you're not having to ride them out, which is no fun at all.
For sleep, some people have found that sleeping partially sat up can help, but experiment to see what works for you.
For verapamil, 360-480mg a day is effective for many people, but others go to 1000mg a day. When changing dose it takes 7-10 days before the dose change is effective, so don't change too rapidly. Also ask about getting ECGs as it can impact the PR interval on the ECG. Some people do better on the instant release verapamil, others on the sustained, so again experiment to see what works for you.
For seeing doctors, most aren't too clued up about CH, even most neurologists. So ask to see a headache specialist and make sure they have experience with CH.
Do read up about how many of us are using vitamin D3 to great effect. It has helped over 80% of people using it, with many going multiple years CH pain free (approaching 6 for me).
The latest info is at - Multimedia File Viewing and Clickable Links are available for Registered Members only!! You need to

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Something else that can help is chugging an energy drink if you've nothing else to hand as they can reduce the intensity / duration of a CH, look for ones with taurine and caffeine (Red Bull, Monster, etc.). But don't try it for 10 CHs a day!
With getting out and about, it is all about planning. When I was in cycle I'd have my CH kit near to hand with supplies including sumatriptan injections, Red Bull and a small O2 cylinder / mask / regulator. I got in the habit of making sure it was close by and I'd options for where to go to get a bit of privacy (not easy trying to use O2 when trying to explain that you're OK).
But what will really make the most difference is when you've got an effective CH preventive and you're getting a lot less CHs. That combined with effective abortive(s) is a game changer.
Keep reading and you'll learn. Plus tell us more about how you do stuff and we might learn something too.