CICS 7.0 with CP100.

Only 4 lines, but all lines in a HG as they do not want individual line appearances. 2 I/C buttons per set. HG is set to Broadcast and ring only for all sets. If the user makes an outbound call and an incoming call comes in on the HG, it rings on his phone (CFB is off) but if he has already answered a call from the HG, the next call does not appear on his other I/C and does not ring. He would like to be able to put the first call on hold and grab the 2nd call coming into the HG without going to another phone.
Any ideas other than making all lines appear on the phones?