If you have no access it s hard for me to tell you to go to extremes to find a way.
Do you need to ground antenna in attic.
The nec requires that the antenna mast be grounded directly.
Agreeing with adtech i don t see the nec requiring you to ground an indoor antenna system.
There is no requirement to ground an indoor or attic antenna.
For all practical purposes an attic antenna is considered and indoor antenna and does not require any special grounding.
But if you have access to a ground connection that can serve the attic splitter it makes sense to use it.
Some attics are dark unwelcoming places used only for extra storage and in those cases nearly any antenna will get the job done.
However the connection of your antenna coax to various ac operated equipment in this case your converter box or tv introduces the potential of electric shock.
If you look at the image below you ll want to use a 6 awg ground wire for all of your grounding runs and suitable ground clamps.
Typically the house wiring and gutters represent a much lower impedance path to ground for lightning than the floating attic antenna.
Keep your grounding parts however.
If you ve taken the time to insulate lay flooring or even decorate your attic however you may want something that s a little less of an eyesore.
Below is an image taken form the nec code book that shows how to properly ground a tv antenna.