You only have to be close by 60 seconds give or take, so just hard code in the timestamp: http://www.unixtimestamp.com/
It's a pain in the ass to change every minute, but it works and you'll get on with the rest of it.
I changed the timezone in my computer, calculated time differences. Everything. What is getting on me is precisely the fact that this is supposed to be so trivial.
You only have to be close by 60 seconds give or take, so just hard code in the timestamp: http://www.unixtimestamp.com/
It's a pain in the ass to change every minute, but it works and you'll get on with the rest of it.