on mesh.Faces you can also find QuadCount and TriangleCount ( MeshFaceList Class )
Instead of asking per brep face you could also just do loop over all RhinoObjects and use RhinoObject.GetMeshes instead:
import scriptcontext as sc
import Rhino
tris = 0
quads = 0
for o in sc.doc.Objects:
meshes = o.GetMeshes(Rhino.Geometry.MeshType.Render)
for m in meshes:
tris += m.Faces.TriangleCount
quads += m.Faces.QuadCount