The models already have included some of the G-IV mission data. In fact, this is the lowest Lat. mission ever flown. Please see:
ZCZC MIATCDAT4 ALL
TTAA00 KNHC DDHHMM
HURRICANE IVAN DISCUSSION NUMBER 20
NWS TPC/NATIONAL HURRICANE CENTER MIAMI FL
5 AM EDT TUE SEP 07 2004

A NOAA GULFSTREAM-IV JET PERFORMED A SURVEILLANCE FLIGHT AROUND THE
PERIPHERY OF IVAN LATE YESTERDAY EVENING WHICH HAD A SIGNIFICANT
IMPACT ON THE 00Z MODEL RUNS. MOST OF THE NHC MODEL GUIDANCE IS
TIGHTLY CLUSTERED ABOUT A WEST-NORTHWESTWARD MOTION WITH A GRADUAL
DECREASE IN FORWARD SPEED THROUGH 72 HOURS AS IVAN MOVES AROUND THE
SOUTHWEST PERIPHERY OF THE STRONG SUBTROPICAL RIDGE TO THE NORTH OF
THE CARIBBEAN ISLANDS. HOWEVER...AFTER THAT THE MODELS BEGIN TO
DIVERGE ENOUGH FOR ALREADY STORM WEARY PEOPLE IN FLORIDA TO BE
CONCERNED ABOUT.

But even a close miss could bring more winds and rains than some area can handle.
OrlandoNative