how to move table variables between project suites?

TC does not have a mechanism to move Table variables between project suites that I am aware of. Is there a reason you are using a Table variable instead of reading your data from a CSV or Excel file? 

You can write a script to read your existing Table variable into an Excel file if you choose to modify your scripts to use Excel. At least you wouldn't have to recreate the table. The code below does work for me for this. Good luck.

Sub Table2Excel()

Dim FSO, objExcel, objWorkbook, objSheet

Set FSO = CreateObject("Scripting.FileSystemObject")
Set objExcel = CreateObject("Excel.Application")
fp = "C:\MyFile.xlsx" ' Create a blank Excel file and save it. Enter the path of the file here.
Set objWorkbook = objExcel.Workbooks.Open(fp)
Set objSheet = objExcel.ActiveWorkbook.WorkSheets("Sheet1")

Call Project.Variables.MyTable.Iterator.Reset 'Modify all of the Project.Variables lines to use your table
'variable and variable level
cc = Project.Variables.MyTable.ColumnCount
rc = Project.Variables.MyTable.RowCount

' table column headers
For j = 0 to cc - 1
  Call Log.Message(Project.Variables.MyTable.ColumnName(j))
  i = j + 1
  objWorkbook.WorkSheets("Sheet1").cells(1,i).Value = Project.Variables.MyTable.ColumnName(j)
Next
objWorkbook.Save

' table contents (by row, by column)
For i = 0 to rc - 1
  r = i + 2
  For j = 0 to cc - 1
    c = j + 1
    Call Log.Message(Project.Variables.MyTable.Iterator(j))
    objWorkbook.WorkSheets("Sheet1").cells(r,c).Value = Project.Variables.MyTable.Iterator(j)
  Next
  Call Project.Variables.MyTable.Iterator.Next
Next

objWorkbook.Save
objExcel.Quit

End Sub