The chip is removed from the pot, put in it's special spot on the table next to the rake chips, then the coupon is slipped under the chip. They have coupons that go into the drop slot. In CT, it's similar to AC, except Foxwoods has something unique for the bad-beat. The dealers seem to appreciate it, since getting a fill takes forever. Because of this, when I buy in at the cage, I, I'll get a couple stacks of whites along with my reds. Fills are done the standard, sometimes slow, table game method. No holding white chips for the tips or bad beat. In AC, they usually insist you buy in at the cage, but re-buys are at the table, with cash going into the drop.
Two minutes later, ten players had chips, and the floorperson took the cash and leftovers back to the cage, and the cards were being dealt. Vegas is also the only place I've seen a table open with a dealer having a few racks of chips to allow a fast buy-in as the players arrived, before the game started. Probably a hold-over from the days where the law was the barrel of a gun, but table games have tighter security. They will also hold white chip tips and only put reds in the tip bucket. The way you describe it is how I've seen it in Vegas.
I've only played poker in Vegas, AC, CT, PA Sands, and on one day cruise out of Myrtle Beach SC.
