|(SCLK & MOSI) = perfect READ_PULSE|
After doing some research, I realized I don't even need an extra chip to do this. I can use a 74LS00 NAND gate for several bits of logic. By connecting the two inputs of the NAND gate, I get the NOT gate I already needed. To get an AND gate, I connect the SCLK and SPI output to each side of the NAND gate, then I connect the output back through a NAND gate with the two inputs connected. NAND->NOT=AND. It's not working yet, but I think it's close.