3" bases are required, if you extend them that high, unless you add weights.
Even 2.5" bases are unstable at height, due to the weight of the antennae.
If you want to add a lot of weight to the bottom (it'll make them ugly), add big, steel, hexnuts to them.
When making future ones, skip the bases, and just use steel hexnuts for that, and insert the antennae through the middle. You'll need to fill up the interior a bit with epoxy, or other material.
I sell 3", 4", and 5" based Topgun, Dogfight Flight Stands, which work well with 1/300th – 1/72nd scale models and minis. They have clear bases, so you can see the terrain underneath.
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Generally, I prefer the 4" bases, for the added residual stability they provide. They're even stable enough to be able to use the Titanium, diecast metal spacefighters with them, from the Star Wars and Battlestar Galactica ranges.
As you can see, the swiveling heads permit virtually any attitude of climbing, diving, rolling, and even inverted flight to be modeled as well.
For more info, e-mail me at:
topgungrav AT yahoo d0t com