Okay. Try this - it fixes the same problem for the Personal Starter Kit on Go Daddy but I won't guarantee it's the same problem. It's leaving your connection string unchanged, but also adding connection details for the LocalSQLServer entry - as exactly the same as your ClubSiteDB entry (you need the first line to remove the entry before setting it).

<connectionStrings>
<remove name="LocalSqlServer"/>
<add name=LocalSqlServer"
connectionString="server=whsql-v21.prod.mesa1.secureserver.net; database=DB_12345; uid=USERID; pwd=PSWRD"
/>
<add name="ClubSiteDB" providerName="System.Data.SqlClient"
connectionString="server=whsql-v21.prod.mesa1.secureserver.net; database=DB_12345; uid=USERID; pwd=PSWRD"
/>
</connectionStrings>