This is a strange experimental request, mainly because of the dimensions involved. Here is a screen with single photons impinging . In the first second single points appear, of a size of the order of a few square nanometers. Each falls on a random (x,y) spot on the material of the screen . The distances of one spot at time t to the other at time t1 is random and very far away, counting molecular distances.
This is more apparent when the detecting element is a TV camera, as in this video at around the 3'52". The camera works by the photon hitting a molecule on the screen, generating a photoelectron which is amplified by the camera. No gratings or scanning slits for position. By construction the same electron will not be there for the next photon, so it is effectively a reset.
You do not state what you expect, but it is evident from the many experiments available on videos that the interference pattern appears even with a reset of the detecting element.