Add more drive space to server B.
Seriously, if the DB is growing, it's growing. Unless you decide to archive data and hence free up space in the data file, the DB will keep on growing.
Shrinking a DB that's going to soon fill the drive because of data growth is a futile approach. The data volumes are still growing, shrink doesn't compress or remove data
Microsoft Certified Master: SQL Server, MVP, M.Sc (Comp Sci)SQL In The Wild
: Discussions on DB performance with occasional diversions into recoverability
We walk in the dark places no others will enter
We stand on the bridge and no one may pass