Looking at Passageweather.com, it appears that the next cold front will be passing off the Coast on Friday. If you could leave this Wednesday, you'd be able to take advantage of the high pressure system to your north and motorsail in the Gulf Stream
to make some miles on Wednesday and Thursday.
It looks like the winds will be clocking around from the SW to the NW and building on Friday, 20-30 kts NW, and staying in that range through Sunday. Looks like you might want to seek a safe inlet to the ICW
before dark on Thursday to avoid bashing into headwinds.
p.s. welcome to Cruisers Forum!