I have not disabled Catalyst AI yet, I will do so now and try again, as well as turning Software Skinning off. Thanks for the tips! I will edit this post in a bit to update you guys with the results.
Update: Playing on version 0.9.8-1365-g1830b1, with Software Skinning off prevents the "My Room" crash. I am able to complete a match in License mode and press X to continue. However, upon completing a match in Story mode, I am prompted to press X to continue, but when I press it, I hear the confirmation sound, but nothing occurs. The animations in the background, and the music continue playing at this time, and I can keep pressing X and can hear the confirmation sound over and over, but I cannot leave the screen. Going into the PPSSPP menu this time does not result in a black screen and display driver crash anymore. I have yet to try with Catalyst AI off, will have time for that later today. Hope this has been of some help!
Update: Playing on version 0.9.8-1365-g1830b1, with Software Skinning off prevents the "My Room" crash. I am able to complete a match in License mode and press X to continue. However, upon completing a match in Story mode, I am prompted to press X to continue, but when I press it, I hear the confirmation sound, but nothing occurs. The animations in the background, and the music continue playing at this time, and I can keep pressing X and can hear the confirmation sound over and over, but I cannot leave the screen. Going into the PPSSPP menu this time does not result in a black screen and display driver crash anymore. I have yet to try with Catalyst AI off, will have time for that later today. Hope this has been of some help!