Since you are only going to be using a partial ground, i am assuming that the ground does extend all the way underneath which ever substrate that you have chosen to use. What you need to do is extend the the air box, since i am not sure about your design and how the antenna is going to radiate I suggest making the air box lambda/4 in every direction, while making every face of the air box a radiation boundary. If you have trouble getting it to run you can upload the HFSS file and I can take a look at it.
Cesar