I believe the best way to "promote" Steem on reddit is simply to make good and view-worthy posts on Steem, not about Steem(it), and link to them in appropriate subreddits.
We could indeed select a view-worthy post on Steem and link it to the appropriate subreddit.
How do we go about picking one to upvote though? Busy.org is great! Love the interface.
I think that once people are exposed to the platform from interesting links that they want to read in the first place, some may decide to find out more about it afterwards.
So, in your suggestion, what would be the best way to expose people to the platform from interesting links ?
Do what I've been doing, find a unique and quality post (make sure its original) and post it to a relevant subreddit (there are subreddits for everything).
The difficult part is how to link to the post without directly linking to Steemit.com.
Like @pfunk stated, if it's just Steemit.com that's the problem, we could link posts from busy.org.