The problem with a jailbroken PS3 is that you must have a USB HDD in order to play the games. If you don't want to use one, you can transfer the games to PS3's HDD via FTP.
Download this app, install it on PS3 and run it. You will see PS3's IP.
Now on your PC, run an FTP client, like Filezilla and connect with the PS3 by using the IP you got (use PORT:21).
As username put "FTPD12345" and anything you want as password.
Transfer the games you want inside /dev_hdd0/game/LAUN12345/GAMEZ folder (you must create the "GAMEZ" folder first).