Cache rebuild dependency issues

I had some troubles on my website with incomplete views data information after a complete cache rebuild. When debugging the problem, I found out that calling views data within a field hook (what eva in eva_field_extra() does) can be problematic, as the field information (or in my case the entity information wasn't completely rebuilt yet).

The important parts of the backtrace looked something like this:
entity_get_info() -> entity_get_info_alter() -> some modules (like field collection or messages) load entities or field information which invokes the field_info hook -> hook_field_extra_fields() -> eva_field_extra_fields() -> eva_get_views() -> hook_views_data() -> now neither entity_info nor field_extra are completed yet, but modules like search_api (search_api_views_views_data()) are based on this information (for example in my case the profile bundles were missing, as they are added in profile2_entity_info_alter()).

At the moment I have no idea on how to solve this problem, it seems that there are too many dependencies between the systems.