Apache Solr Framework with Views (for Facet Search) What I want

I want to use the Apache Solr Search to:
1. built a Global Search with a customized Search Results Display
2. built a Facet Search for specific content types

Problems

Currently I'm trying to use the Apache Solr Framework Module:
https://drupal.org/project/ApacheSolr

So my first question: As far as I can see, this module has no native integration with views, right?

As a result I installed the "Apache Solr Views Integration" Module:
https://drupal.org/project/apachesolr_views

But when I create a view of the new typ "Apache Solr .." I am experiencing different problems:
1. Not all fields are available (for the facet search I only need to display specific fields)
2. It is not possible to filter the Content Type (needed for the facet search)
3. It is not possible to set the ouput to "rendered entity" (needed for the global search!)

Does anybody know to achieve the result that I want? What are your expieriences with the Apache Solr Framework? How do you integrate this with views?
I have typically achieved this type of thing using the Search API module which provides ability to select which fields are indexed and thus exposed to Views in turn along with Apache Solr integration.

The Search API provides a great base onto which to build very powerful search applications.