I've moved hives much shorter than 3 miles but much farther than 3 meter in the past, losing very few bees.
I have moved a hive 70 meters from a neighbor's garden to mine, where the original hive location was easily seen several times a day.
I closed and moved the hive as twilight began and closed them in., *and placed a leafy branch a half meter in front of the hive so that the bees would reorient when they came out*.
I placed a nuc at the original location placed a partially drawn frame from it at the original location.
The next evening, I did the same with the nuc, placing it right next to the hive.
The third evening there were only a couple dozen disoriented bees at the original location, and there was no noticeable loss of population in the original hive.
If you move the hove when most of the workers are in it, and trigger orientation at the new location by putting an obstacle in the flight path of departing bees a meter or less from the entrance ( the closer the better, but not immediately in front of the entrance, as there will be a LOT of bees orienting on the hive front the next morning).
This practice has saved me a lot of time and work in the time since I learned of this practice from Michael Palmer.