Pulled some rewards card data from the link. This excludes gold cards but it does take into account individual bcx and does not count upgraded cards as 1 card. https://steemmonsters.com/cards/get_details
Chart wouldnt paste nicely into this, so I am attaching a screen shot. Hopefully it can be read.
To summarize, looks like Flame Imp, Mushroom Seer, and Hobgoblin are all over 65% drawn. Hopefully I didnt make any typos! Thank you, and let me know if you find errors!
Also, I'm not certain of monthly total draws for each of these, but looking at when they were released, I would guess the first ones won't hit the cap for 3 more months (rough estimate).