I've seen sites which request that you turn off your ad-blocker before they'll allow you access to the site but I'm not sure how difficult that is to implement. I also suspect that some readers will be driven away from your site by a request of that type.
Just as an aside the only reason I've ever used an ad-blocker was to prevent my accidentally clicking AdSense ads on my own blog (a violation of AdSense policy), but I've turned off the ad-blocker because I found that it and other extensions were slowing Google Chrome down. Perhaps with a fast internet connection this isn't a problem but mine is quite slow.
Yep, same. I keep seeing such sites that require you to turn your Adblock off for them if you wish to read the article or continue browsing the web page. I think that's quite clever if I am honest but I still usually don't turn mine off. I just feel safer using it. I think even famous sites like Forbes and so on have that implemented.
Adblock has been around for some time now, surely this isn't a new growing problem or?
In essence, you have a different type of blogs... some are branded kind, some rely on the income from the ads and some get their money through affiliate marketing.
Maybe try making a mobile app for your blog - that way they can't block the ads.