Well, this is certainly something
There was a lot of information out there about this episode, and I was able to piece it together. What helped me get the slotting was simple cash/car slotting rules. Yes, there wasn't a car 4th, but when I figured out that the car games were Gridlock and Master Key, neither of those are ever played in the first 2 (I don't get why with Key), which meant one of them had to be 3rd, which made a car 4th very unlikely. Since cars were 6th on both 8422 and 8423, that means that 5th was more likely than 6th.
Cash also tends not to repeat slots within a week. Hot Seat was 6th on Monday, cars were 3rd and 5th to begin with, and cash is very rarely 2nd, so that leaves 1st and 4th. 1st simply made a lot more sense than slipping it 4th between the 2 car games. So we have Bag 1st. Because putting fee games in the same half is uncommon, that means Key is 5th, not 3rd, which leaves Gridlock for 3rd. Why'd I pick Key? Bag, Race and Gridlock is already the beginnings of a long lineup. In order for us to get an SP in at all, it would have to be an SP/car. They've been playing both GP and SP in most shows this season, so I decided to stick with that and pick the only SP that remotely made sense, Key. So yep, they waited until week 3 to play Cover Up. Pretty strange.
So Bag 1st, Gridlock 3rd, Key 5th. Filling in Race and the 2 quickies' slottings involved a bit more luck. However, hopefully this gives a bit of insight into how I got lucky by following the patterns. It really is like a logic puzzle. Considering they really are obsessed with manipulating the showcase ARP endings as we've seen, it's not surprising that they also carefully manipulate the lineups in this way.