If the chimney is technically part of the house then you d have to ground the coax at the top of the chimney to conform to the electrical code.
Running a wire into attic along chimney.
Rigid conduit with an outside diameter of 3 4 in and a fish tape long enough to reach through the buried pipe.
Other components can share a chimney chase piping cable conduit etc but the chimney and chase require fireblocking.
Between the joists and the rafters exceeds 1 m i so where the cable is running under the rafters the rafters have to be 1m above the joists.
A the upper faces of ceiling joists.
Run the wire or cable to its destination.
This is normally done by boring holes in the centers of the framing members and running the cables through the holes.
The lower faces of rafters in attic or roof spaces where the vertical distance.
You would need at least 2 inches of separation between the data lines and the line voltage romex but you are allowed to cross perpendicular in contact with each other.
There should be no excess wire or ends left in the attic.
Attach the wire or cable to a fish tape or coat hanger using electrical tape and feed it into the hole until it reaches the opening at the other end.
Remove the outer jacket from the cable ends using the cable ripper or the utility knife.
Once you are running the wire feed both ends of the wire through their corresponding holes and climb down from the attic.
If you re working from the attic you can drop a weighted string down wall cavity then attach the wire to the string and pull it through.
It should have a steel or drywall fireblock in place.
Remove 3 4 inches of insulation from the individual wires.
The bottom of the floor joists you can run the wires through raceways that fasten to the bottom of the joists.
You simply mount a small plastic clip to every other joist.
To make the connections in the junction box.
Running between exposed joists or studs provided the cables are recessed away from the face of the framing members.
Cables shall not be run on or across.
It made sense you are definitely free to run the cables up and down along side the vent or the chimney.
I d run the ground wire for both the coax and the mast along the outside of the house to the grounding system electrical connection point of your choosing which should be at or near the electrical meter.
Step 8 locate the wires at the sites where you fed them to from the attic and complete your connections first then secure or conceal the rest of the wire.
To run the wires inside rigid conduit you ll need a hacksaw a pipe bender capable of bending 1 2 in.