What was the details of the suspect state (why did the DB go suspect) and how did you fix it?
I suggest you do some checks (or get your sysadmin to) on the IO subsystem. There is something wrong with the drive the data file is on, not the backup destination.
Microsoft Certified Master: SQL Server, MVP, M.Sc (Comp Sci)SQL In The Wild
: Discussions on DB performance with occasional diversions into recoverability
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