Hey, we're practically neighbors!
This is not a drilling operation. Your pushrod is probably not touching full length, just in the top inch somewhere. So I think the tunnel will need to be angle-milled. Without a fixture, I don't see this as doable.
I see it doable with a die-grinder, but that would be awful messy,and time consuming, and very difficult to keep debris out of the engine; probably requiring a tear down to clean it all out. It would also be very tricky to keep the bit working where it is supposed to be working. Those burrs love to follow the hole around and around and around! Oh and the bit costs nearly what Hughes wants for the entire operation.
Have you fit the intake manifold yet? If the intake doesn't fit and something needs milling, perhaps it then becomes doable to ship the heads for two operations.