My PC is indeed a laptop. Would it be possible to use a Raspberry Pi (or other device) to store data from the console's datalogger?
You could use a Raspberry Pi and software like weeWX (
http://www.weewx.com/). One problem I see is that you would end up having a gap in your Weatherlink records, as weeWX, and I presume other RPi compatible software, uses its own database, and I don't know if there is any easy or reliable way to convert data back to Weatherlink.
If you were to decide to switch either temporarily or permanently to something like weeWX, you might consider swapping at such a time to ensure that you will have a full month's record in the software so that at least you will have complete monthly NOAA reports in one or the other software. (weeWX will download whatever time period is archived in the datalogger.)
If you want to continue to use Weatherlink with no gaps, I think Mattk's suggestion to change your archive interval to one hour is the safest to avoid chance of lost.