"To binge" usually means to eat or consume excessively in a short space of time, so to 'binge eat' is to eat lots of food in one instance, or to 'binge watch' to watch lots of tv in a short period of time. So here the writer means they looked at a great number of companies. 'Naysayers' is synonymous with 'doubters', people who doubt. Hope this helps

When I first saw this, I understood it the same way as Paul. I presumed that 'binged' was pronounced with a 'j' sound and it was the past tense of 'binge', as in indulge in too much food, drink, and so on. But that doesn't really make much sense. But then I realised why the word was in inverted commas ' '. It's presented like this because it's a new, invented verb, from the name of the search engine 'bing'. 'Binged' rhymes with 'ringed' and it means to search using 'bing'. Saying 'I ‘binged’ for which companies were truly organic and came to your page' is the same as saying 'I googled'. It simply means that I searched on the internet. Obvious when you realise it, isn't it?

To add more meaning, although quite old-fashioned/formal, "yea" (sounds like "yay") and "nay" (so they both rhyme) express the meaning of "yes" and "no", respectively. Don't confuse "yea" with "yeah" (also spelt "yeh"). So a "naysayer" is someone who says no. In other words, someone who says things are not good, not possible, won't work, etc.