Additional to what Steve just mentioned. You should also take into account that there's additional time when you run the SSIS from your machine as the data needs to travel to it before getting to the destination.
If network is slow, use bcp to  load the data into a flat file in the source (delimited not fixed length please), copy the file to the destination and load the file from there. It might still be slow, but you won't be locking your tables for hours.