It sounds like you are attempting to push too much data at one time. GoDaddy may be terminating the connection because of a size limit per request or the upload is taking longer than they allow (because it is so large.) In either case it is a sign the amount of data is too large.
A possible solution is breaking the upload into smaller pieces. Meaning: make some edits, push, make more edits, push. Instead of making many edits at one time and pushing them all at once.
You can also consider moving to a host that offers staging environments. In this situation you would be able to press a button and create a clone of you site (depending on the host this may or may not be accessible to the public). On this clone you would log into your WordPress dashboard, make edits the normal WordPress way, then press a button to push the changes to your live (public) website.