Hi, amazing approach. I like it. I agree with everything.
It is hard to make any suggestions, but I have some:
1. Sign at bet365affiliates
2. Do not change "almost" anything. You have a lot in stake. The way how to start is to put the odds to bookies as links inside of the text, and I would not do anything else for a while. See if you get conversions. It is tempting to write specialised PR articles just to have ads there, but even those articles dissolve trust into your website. You can always start with them later. Just instruct your copywriters to always, when it fits, to put odds with your affiliate link(s) inside of blog posts.
3. Stick with your current display ads 95% of time, but try to switch them to affiliate banners during busy times like 1st round of EPL, when they convert much better.
4. Take this as tasting. It will not cost you much on lost income and you will not bother much your readers, but you will be able to create a mental image and evaluate for yourself, if affiliate marketing makes sense (I am almost sure it will). Your CTR is very very good, which means you have dedicated readers. You should not gamble with them. Really do not ask about industry standards, I know you need to feel something, but your site is different. Try doing what I said and you will see on your own.
If you talk to God, you are praying; If God talks to you, you have schizophrenia.