How can I hide an HVAC line on the blank face of house with a chimney?
We ended up having the line rerouted to beside the chimney and will use a line-set cover to disguise the run and make it look similar to a downspout. 

If I had to do it all over again, I would have had the line run over to the corner of the house, up the edge by the downspout, and into the attic near the edge of the soffit (finishing the line run in the interior). This would have better camouflaged the cover, as it does look incredibly similar to a downspout, but is rated to carry HVAC line.