SOLUTION FOUND!!! (AutoCAD 2010, at least, but assuming any flavor that supports DB's will be similar)
In the Block Editor, open the Parameters Manager ("Fx" button on Block Editor toolbar, or PARAMETERS command). This will open a palette window where your block parameters and attributes are listed.
Right-click in the column heading bar. This should bring up a list of available columns (Name, Expression, Value, Type, ORDER, Show, Description)
Check Order, and you should now be able to see that column. By default, these fields will be empty (using creation order). Once you enter a number into any of these fields, the rest will be automatically populated. Reorder your parameters to your hearts content.
Note that pairs of parameters, such as XY and Dist&Angle will always be put together, and will show matching order numbers.
Thanks for the tip!
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