Lagrange

The Earth-Moon Lagrange points would be the ideal choice.

Think of Lagrange points as pockets of stability, where gravity, rotation, and orbital motion all balance out,

they'd accumulate in Lagrange points like a grand celestial treasure chest for space-bound archaeologists.

the Lagrange points are a great strategy for playing such an observational long game.

A few are more mysterious, perhaps even echoing from the Earth-Moon Lagrange points.

Some of the longer delay times matched the travel time to these Lagrange points.

And one study even found a statistically significant increase in LDE's when the Earth-Moon L5 Lagrange point was above the horizon.

This, coupled with a possible origin in Earth-Moon Lagrange points, paints a picture eerily similar to the long hypothesized notions of what contact could look like.