Current JSL and Funktop enhancements show very limited if any signs of Thunderstorms in or around 93L.
First visible satellite photo is half IR half VIS but is does show the system maintaining structure and low to mid level organization.

Moving westward at 10-15 knots. I question whether 93L is running on the periphery of the Total Precipitable Water envelope that it originated from. Seems to be lagging the pouch of the wave. Well behind the crest of the wave and near the trailing wave trough.
My perception at the current time.

Weak waves have been known to transverse the Lower Lesser Antilles mountains. Wait and see is the forecast now.