With uBlock Origin, you can select the HTML elements that are offending you, and remove them from the DOM It's called the 'elemental picker' and is a tiny picture of a pipette. You can use this to remove adblocker blockers. Some are more tricky to remove than others and can take some time.

If you don't want to use uBlock, you can always put yourself in a common pool of browser clients such as the TorBundle and blend in, thus improving your privacy. TorBundle doesn't block ADs.

Well if it's a site you value, you could consider just whitelisting that site. Alternatively I sometimes just copy the link into my secondary browser, where I'm not logged into google or anything for tracking purposes. Some pop-up block things can also be removed with the Inspector tool in developer tools, if you're that way inclined.

I don't want to whitelist the site because that seems to be expressly rewarding bad behaviour.

I once saw someone write that they had a Chrome extension that just removes all elements from the DOM with "position: absolute". That might work for you.

Block the nagging modal element. If you can't. Don't view them. Then talk shit about the page in the comments.