Is a rainscreen mat more important than exterior insulation if only one can be installed behind fiber cement cladding? – GreenBuildingAdvisor

Homeowner Long Island NY.  Having new fiber cement siding installed soon.  Everything has been finalized but there is still an open question about whether to use a rainscreen mat or exterior insulation over the wrb.  I can’t do both because of minimal overhangs on the house.  

I really like the idea of  exterior insulation taped at all the seams for thermal and air sealing properties, but it seems that having a rainscreen there, especially in my area that gets a lot of rain and with a house that doesn’t have overhangs, is the wiser choice.  All comments appreciated