I'll make a brief clarification. That BET game show that would come on in the morning aired within an hour from Price, which meant that I would just switch over to CBS at 10:00.
I remembered three more shows.
One show I watched regularly was "Random Acts of Comedy," more like an improv version of "The Who, What, or Where Game" on Fox Family around the turn of 2000. Hosted by David Alan Grier, a few improv comics would act out the Ws and the contestants buzz in to answer them. I remembered one of the consolation prizes was that Jeep CD radio that would be on other game shows at the time.
Along the lines of "Bobcat's Big Ass Show," there was "Happy Hour" hosted by (I think) Dweezil and Ahmet Zappa on USA around the same time. From the promos I remembered, there were some buzzer games that got me into the show. Unfortunately, like BBAS, it was part game/variety show. I had to wait a while just to see a buzzer game. One game I totally remembered was where the players were shown the insides of candy bars on the monitors under them and the buzzer game was in play. I saw a few of these and wasn't worth it to wait for a (fun) buzzer game.
Another game that was fun to watch was webRIOT on MTV. It's more like those NTN trivia games that takes place in a set where nothing was on the floor and Ahmet Zappa was on a monitor wall the whole time. was fun.
Thousand Dollar Bee?
Again, moreso the shows on cable and syndication.