Based on those charts and the absense of any larger scale influences, I'll be curious to see if we continue to see fairly high amplitute waves attempt to march across the Atlantic. Climo would generally suggest higher surface pressures and an increase of SAL. While models suggest a near term lull in tropical development, it shouldn't come as any surprise for MDR instability charts to continue to indicate normal to below normal instability values. Furthermore, history has shown us that an absense of tropical activity during this particilar time frame is NOT an indicator that an inactive hurricane season may end up playing out.
On the other hand there could well be subtle signs or even more obvious indicators that might tip us off that this season could very well prove to be very robust. One such indicator might be increased forecast confidence of continued (or an increase in) SST anomalies throughout the Atlantic MDR and W. Atlantic regions. Yet another, the possible cooling SST's over Eastern equatorial waters. Especially important would be indications of whether favorable or unfavorable upper level patterns or dry/moist air conditions in the low to mid levels, are seemingly becoming established through parts or much of the Atlantic basin.
The broader picture however, might just be whether we continue to see one or two area's within the Atlantic basin (eg: Gulf of Mexico or Caribbean?), that appear to be that "sweet spot" where conditions continue to appear favorable for cyclogenesis to occur (even in spite of climatology). Will strong tropical waves continue to emerge off the African coast and will some remain vigorous if even at low latitudes? Even if they don't, will we begin to see a pattern of those waves becoming sharper and more convective again as they approach 50W-60W, even while overall conditions throughout the tropics appear largely unfavorable for development over the next 4 weeks?
It's my personal guess that we'll see one or more tropical waves continue to become more convective and better organized as they either approach the Lessor Antilles or within the Caribbean. Regardless of any attaining Tropical depression status, I do think that one or more will at least make a run at it. Should this bear out during a several week period where overall basin conditions appear broadly unfavorable, during a period where Climo would suggest a lull in tropical activity, and while present global MJO and Kelvin waves appear neutral at best..... then that alone may be some clear signal of "what's in-store" for the heart of the Atlantic hurricane season to come.