The live site seems to be working fine, I can’t see any issues with white screen on there. So, I would imagine it’s either a cache issue (you have a cache plugin installed) and when you’re editing and it’s active you’re not seeing the live version of the page as it’s looking for a previous html version in the cache. Or it’s possibly a php memory issue, and the page is crashing as it doesn’t have enough memory to load.
GoDaddy should be able to check your error log for you, this will have instances logged where something has gone wrong and crashed, and hopefully you can backtrack through that to see if there’s a cause.
To increase your php memory follow: http://www.paulund.co.uk/increase-wordpress-memory-limit