Having no luck finding it in any of those cities listed (and can't find some of the cities in the list).
Got one in Houston @ 8 a.m. On the main page, you can select your city from the drop down list. Still didn't find all the cities, but more were there than on the autofill just with searching.
Just a warning, I did the $20 for $25 on 11/15 and haven't gotten anything, despite being charged immediately. Called Groupon and they said it's a third party administering these Target GC promos and there's nothing they can do but refund my money, though I have to wait until next Monday to request that.
The $10 ones are mobile gift cards, so you just have to pull it up on your phone to use it.