You may want to drill a hole in your drum in an outside edge corner for a drain point, thread it for a bolt, use a rubber washer to seal.
Make sure it is at the bottom when the open hatch is at the top
I wonder if you are emptying the tumbler immediately after the cycle or if you are leaving it for awhile, electrolysis between dissimilar metals (rust/corrosion)
may stick your coins to the sides in a surprisingly short time. Any rust on the edges of those coins ?
A course sand media or fine gravel will lodge under the coins so they will not lie flat and stop that.
Its another reason to have a rubber liner inside or plastic drum.
Oh yeah, there is no reason that you cant mix tumbling media, fine gravel and big stones, stainless, marbles, cut wire - it will all work together fine.
A squirt of liquid dish wash, or a tablespoon of 'truck wash' liquid along with the tumble media should do the job.
Maybe a handful of beach sand would help as a fine abrasive.
That should be all you need to get the coins clean of crap.
If you want the 'Brass' coins
only to REALLY shine, put in a teaspoon or so of Citric Acid (Supermarket $2),
but CA may damage the Nickle and Copper coins if too strong.
Fun building stuff and sorting it to work best isnt it ?
Let me know how it goes.