Thaler / Three Cent Thursday: 1856 Three Cent Silver Struck Over European Taler PCGS F15

Good sleuthing and likely more attention to this thread than @bobby was expecting!

I've spent a little time on tokencatalog this evening and note a couple things:
1. I'm not really seeing any silver tokens. Silver-colored (i.e. Aluminum), but not silver.
2. Most of the time the words "dealer" and "hardware", "tinware", "queensware", etc. are both on the same side of the coin.

Curious if anyone has any more information on this? Very interesting thread and very curious to know what the host coin is.

I'm not actually very confident that the letter after ALE is R either, but offhand I can't think of any plausible words that would fit any of the other possible options. I agree that the letter before ALE is probably F or E.
For what it's worth, I checked everything on Numista that matched a search for ALE and WAR in the lettering (about 200 items, mostly tokens) and found nothing that could even remotely fit.

The partial letter above L in ALE is very probably S (though other options are in principle possible). There seems to be another L under the oak leaf.