I think you'd be better off finding where the "little black junk" is coming from and eliminating that problem.
If I understand correctly, you took the strainer screen off the inlet in the fuel tank, and installed an in-line fuel filter. But the stuff got through the filter and plugged the inlet to the carburetor's sediment bowl?
If the fuel line(s) are old, they could be deteriorating on the inside. Likewise if someone replaced the lines with "rubber" lines (e.g., windshield washer rubber hose) which are not intended to carry fuel. You can buy neoprene fuel line by the foot at AutoZone, Advance Auto, Pet Boys, NAPA, etc. You'll need to know the length and inner diameter, probably 1/4" or 5/16". If you are not sure, take the old line with you.
You may also want to consider emptying the fuel tank into a container, and the fuel lines, and the sediment bowl too, and then sloshing a little fuel around in the tank to pick up any left over sediment and dumping that into the container, too. Then put the screen back on the fuel inlet in the tank and start over with fresh fuel.
Drilling out that hole in the sediment bowl is (to use a phrase politicians have been using recently) just kicking the can down the road. Next you'll need to drill out the jets in the carburetor!