There is a very low cost and popular way to calculate Moon distance, using this recent developed technique below.

It is known that the Moon apparent size from the observer is 1.7% different when seeing it at the horizon than at Zenith.

When seeing the Moon at the horizon, the observer is farther almost the Earth radius, so the Moon will have a smaller apparent size.

The technique is to use your own smart phone over a tripod and take pictures from the Moon at horizon then at Zenith, and also note the Moon elevation (there are several smart phones app for that).

By the apparent size difference, elevation and Earth radius you can calculate its distance.

You don't need to be precise, an error of 10% or 38,000 km is accepted when calculating 380,000 km in distance, using such technique.

So, hundreds of people, not governmental agencies, could accumulate their calculations, and reach an average consensus.

If one could think that horizon atmosphere thickness could interfere in the apparent size, reaching a value closer to 384,000 km ±10%, or even ±50% will be a great result.

https://phys.org/news/2014-05-distance-moon.html