The definition of "best" post depends on personal taste and is highly disputed, let alone for threads.

Theoretically one could define a set of preferred contributors and rank the threads after their appearance.

This set could be derived from your voting history.

Even better if there was a way to rank posts after the votes of those preferred monks.

Saying so I doubt this will ever be realized cause it's not only a technological question but needs plenty of tuning with unknown outcome.

The best I can recommend to you is to write a script to regularly pull Best Nodes and to construct a ranking on your own which is displayed on your website.