Backdrop absolutely will make scanning the worse experience , you should have nothing in the background or anywhere else if possible .
Please use the Range settings in the software to adjust the sensor range where it do not capture anything behind the object in the background .
If you use turntable while scanning it is crucial , anything that do not move with your object while scanning can mess up your tracking in the process as well .
To avoid scanning the bottom , I use black silicone rubber mats. But you can use even black plastic Amazon have great black plastic table cloths , they are hard to scan and great for the purpose as well .
I already move everything in the background out of range and narrow the sensor rage, but it makes sense to tightly control the nature of the background.
I will try as you say, including using a black tablecloth.
Make sure it is made from black plastic and not fabric , unless the fabric is pure nylon or any other synthetic oils based fabric. Black cotton will not works .
I used it for a long time with Mini and Range before the range settings was introduced .
They works well , the red works great with Mini series and Metro series too when using Full Field or Auto mode