What's most likely happening is you're running out of memory. Kentico 8 and 9 have a minimum requirement of 1GB of memory and most shared hosting providers don't offer that for $5 or $10 or even $30/month. I'm not stating this is your exact problem, but a good chance this is the issue. If you can remotely connect to SQL then run a query against the cms_eventlog table and look for the top 100 newest records. Probably give you some more info.