Transfer of large database from 1 server to another
Before you bring ZIP into the mix, be advised that Sql Server natively supports backing up a database to multiple files typically resulting in smaller files and faster backup time.  

Check out Backup to multiple files for faster and smaller SQL Server files by Greg Robidoux.  

Summarizing Greg's post:

Problem


  Have you ever wished you could get your backups to run faster? Well
  there may be a way, by writing to multiple files. Creating SQL Server
  backups is pretty simple to do; you can use the SQL Server management
  tools or you can use T-SQL commands to issue the backup. But sometimes
  with large databases it takes a long time to run and it is difficult
  to copy this very large file across the network or even to your backup
  tapes.


Solution


  Write your database backup to multiple files. In addition to writing
  your database backup to one file you have the ability to write to
  multiple files at the same time and therefore split up the workload.
  The advantage to doing this is that the backup process can run using
  multiple threads and therefore finish faster as well as having much
  smaller files that can be moved across the network or copied to a CD
  or DVD. Another advantage to writing to multiple files is if you have
  multiple disk arrays you can write your backup files to different
  arrays and therefore get better I/O throughput. One thing to note is
  that to maintain the I/O throughput you should keep the writing of
  your backup files and the reading of the database file on different
  disk arrays.


Backup to multiple files using T-SQL

BACKUP DATABASE [Northwind] TO 
DISK = 'C:\Northwind_file1.bak', 
DISK = 'D:\Northwind_file2.bak', 
DISK = 'E:\Northwind_file3.bak', 
DISK = 'F:\Northwind_file4.bak' 
WITH INIT , NOUNLOAD , NAME = 'Northwind backup', NOSKIP , STATS = 10, NOFORMAT,COMPRESSION


On another note:  

You should SERIOUSLY consider taking this backup with COPY_ONLY to make sure you don't mess up your production differential base.