How to set sampling rate for digital pin input?
You need:


A timer
A board that is capable of running fast enough to do what you want.


The Nano fits the first criteria, but not the second.

At 16MHz you get a clock period of 63ns.  That means you get a mere 8 clock ticks (actually gives you 504ns) per interruption from the timer. That's at most 8 assembly instructions that can be executed within that time. 

Since an interrupt service routine's preamble is longer than 7 instructions you can see there would be a slight problem there.  No time for actually reading a digital IO port - and if you are using a serial protocol to communicate with your ADC you can multiply the reading time by the double the number of bits you need to read. That's a long time compared to 500ns.

So no. Think again. Use a more suitable board. Maybe an ARM based board (like the Teensy 3.x) would be a better fit.