If you are ripping the recordings to PC and doing the editing there, then the older Sony models like the GX3 are pretty robust and I can confirm that the recordings can be transferred. You would need to keep separate +RW discs for DVDR recording and PC work though.
I'm a bit surprised that you say the LiteOn or Cyberhome machines make recordings that can't be transferred. Did you read this somewhere, or have you had practical problems yourself? How are you trying to rip the recordings off the disc?