How to increase our chances of acquiring a domain that is currently being held?

We are building a new software platform and we have the .io, .co, .tv and a few others but we really want the .com and someone has been holding onto it since ~2010. From internet digging I have concluded it is likely held onto by the same people that owned a PR firm in canada with the same name that seems to have only lasted a year or so ~2010 and then vanished. I'm not sure if theyre holding onto it for sentimental value or what but we are really hoping to acquire it somehow. That said in a month the domain expires and we're wondering what the best way to increase our odds of getting it are? Should we do godaddy domain backorder? send a letter to the catchall email pleading our case? Any ideas appreciated!