28MB might be beyond the capabilities of Exhibit, I think that's one problem they are attempting to fix in Exhibit3.
What I do is load my RDF into JENA and write Object RDF Mappers (ORM) to custom export only the RDF that I want to display in the Exhibit. This involves either writing a CONSTRUCT query in SPARQL often because I have one-to-many properties in many cases. Then I use JENA's Resource.ListProperty(Property) to iterate through the results. I have sample code if you are interested.