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SUBMIT YOUR IDEAThis was tough:
Here is my submission.
Not entirely sure about the spatial part, so did with join filter.
Used a grid to create a column and row value for that section of the grid for the map layout. Used spatial find nearest tool to identify the 8 closest values to a null value to replace with an average. Identified two locations where existing in the top row and bottom row of the grid only needed 5 values that were the closest to each grid to identify the value. Used a union tool to bring it all together and a crosstab to organize the columns values to be the new column headers and have the final output grid with all updated values.