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Thank you for the response. I've ran two MOZ crawl reports today, one with mysite.com and one www.mysite.com. Both returned 1 result for mysite.com and www.mysite.com respectively, with a 200 status code, but no meta data. I know that I've successfully crawled www.mysite.com about a month ago with no problems. I have made small changes here and there but nothing is jumping out at me as wrong. Screaming Frog is currently crawling my site successfully about 1/10 tries. The successful tries it sees 163 Total URL Encountered (its a small site) and the other 9/10 times it shows exactly 1 URL (the one i entered) and no meta data. There doesn't seem to be any pattern when it successfully crawls and when it doesn't make it past the first page. Google WMT is currently showing No Data Available for both internal links and links to your site which is a little concerning. Everything else in WMT looks ok.

I personally would not. From what I have gathered about the latest Penguin update, it really targeted link neighborhoods. That is what you are describing when you are talking about the link profile of this other site. Ask yourself this, does it look natural? Is there a relevancy from this site to mine? True it is just one link, but is it worth risking your link profiles integrity? My answer is always no.