With CocoaPods 1.5 released I am trying to migrate from having 10-15 dynamic pods in my projects to having them as static libraries instead, with the goal of speeding up my app
CocoaPods 1.5.0 introduced use_modular_headers!
to still provide module support with static libraries. Details in the release notes.
Alternatively you could change the modular imports in your sources to file imports.
I'd also recommend trying out the CocoaPods 1.6.0 beta since it has several fixes for static/dynamic library and framework issues.
2020 Update
CocoaPods 1.9.0 introduced use_frameworks! :linkage => :static
which will generate full frameworks with statically linked libraries and module map files. This is typically an even better approach than use_modular_headers!
.