Apparently NHC thinks this may be worth a RECON or two.
And the CYCLONE designation at 29/1200z indicates a named system. That would be 8 AM EDT on Wednesday.

NOUS42 KNHC 271730
WEATHER RECONNAISSANCE FLIGHTS
CARCAH, NATIONAL HURRICANE CENTER, MIAMI, FL.
0130 PM EDT MON 27 JUNE 2011
SUBJECT: TROPICAL CYCLONE PLAN OF THE DAY (TCPOD)
VALID 28/1100Z TO 29/1100Z JUNE 2011
TCPOD NUMBER.....11-027

I. ATLANTIC REQUIREMENTS
1. FLIGHT ONE -- TEAL 70
A. 28/1800Z
B. AFXXX 01AAA INVEST
C. 28/1515Z
D. 21.0N 94.0W
E. 28/1730Z TO 28/2200Z
F. SFC TO 10,000 FT

FLIGHT TWO -- TEAL 71
A. 29/1200Z
B. AFXXX 0201A CYCLONE
C. 29/0930Z
D. 22.0N 96.0W
E. 29/1130Z TO 29/1600Z
F. SFC TO 10,000 FT.

2. OUTLOOK FOR SUCCEEDING DAY: CONTINUE 12-HRLY
FIXES WHILE SYSTEM REMAINS A THREAT.