I don't know any algorithms already implemented using steem data. I do know that recommendation algorithms are plentiful and there are many implemented examples. In other words, repurposing existing code should be able to do the job.
I like the separate page too but I'm not sure how making users go to a separate site is friction for usage.
The alternative of a bot commenting with your username and a specific tag is you can use something like https://www.asksteem.com/search?q=%22%40egmracer01%22 with a specific tag and I don't have to reinvent the search interface.
Believe me, I'd go to any website to find content relevant to my account. Trending and hot tabs don't work for me anyway. But of course, that's only me. I can't speak for others.