Did you try just putting the Status column only in the index? SQL can still use that index to do a key lookup back to the main table. Hopefully the number of rows in Active status would be limited enough to allow SQL to do that.
Or did you try that and find that SQL would then not use the index but do a full scan instead?!
SQL DBA,SQL Server MVP(07, 08, 09) Prosecutor James Blackburn, in closing argument in the Fatal Vision murders trial:
If in the future, you should cry a tear, cry one for them [the murder victims]. If in the future, you should say a prayer, say one for them. And if in the future, you should light a candle, light one for them.