Some Caesar's Entertainment properties have $1.00+ Four Card Keno; I know specifically Harrah's and Caesar's Palace do. In the last two weeks, decent pay tables have been returned to the machines,
replacing the pay tables that they trashed a few months ago. However, since everything at the Caesar's properties has been changing so much, what is true today, could be different tomorrow.
Also on the Strip, at the Bellagio, I play the 25 cent Multicard game there which matches the best pay schedule in town. I haven't checked the Four Card game there and I don't recall if the Multicard game had the dollar+ option, but it would be worth your while to check it out if you will be on the Strip.
Downtown, the only dollar Four Card option that I remember seeing was at the Fremont, but it only allowed one credit per card which makes it fairly worthless as a dollar option. The highest level that allows the full 16 credits that I've seen Downtown was at the California at 50 Cents which by the way has the best pay table.
Are you interested in off Strip properties? The highest level I've seen on Four Card Keno at Santa Fe Station for example is the dollar level, but with a two credit per card max.
Is there any specific casino (or area) that you are interested in?