The filament winding (terminals 4 and 5 of the power transformer) are grounded, so those measurements are fine.
The first thing to check is the DC resistance at the power cord. You should see infinite resistance with the power switch Off, and around 10 ohms with it On. If you pass this test, then you can eliminate the input power wiring and the power transformer primary. If you don't pass this test, then stop here and we'll help you trace the fault in the primary power wiring.
Once you've confirmed the primary wiring as above, and if you have not tested it without tubes, do so now. I assume you have a stock of spare fuses, we may go through a few in this process! If the fuse still blows then there is a problem in the power supplies; if the fuse does not blow then the power supplies are not at fault.
I think it would just make this post confusing to offer next steps, because they depend too much on the results of the above tests. Report back and we'll keep working!