One thing that certainly works is setting the system time on the host computer to the time frame that you want. We've done this and it worked well.
However, we've since become uncomfortable with having done it. Such WARCs are essentially lying, in that they look exactly like they were *really* taken in the past. If this is a common need, it would be better to have 'honest' WARCs that say the date they were taken and the date they are 'simulating', and extend the playback mechanisms to cope.