I can't get common anode LEDs; that isn't an option.
I'll put up another drawing once I get home.What do you mean by three resistors per LED? I'm confused. Where on the schematic do they need to go? You mean that each anode pin on each LED needs a resistor?
Also, how much would the following ICs help with a project like this?CD4067BE (http://www.alldatasheet.com/datasheet-pdf/pdf/157680/TI/CD4067BE.html)74LS257 (http://www.datasheetcatalog.com/datasheets_pdf/7/4/L/S/74LS257.shtml)74LS139 (http://www.alldatasheet.com/datasheet-pdf/pdf/8082/NSC/74LS139.html)74LS251 (http://www.datasheetcatalog.com/datasheets_pdf/7/4/L/S/74LS251.shtml)