Hi Ian,
It sounds that you feel the issue is the Weatherlink for PC software and your PC, and not the console or datalogger. One option is to use a different program so replace Weatherlink for PC with say CumulusMX. For this you would need to make sure your datalogger is set as serial mode, and I read that that has been discussed in the past. CumulusMX is modern and fully supported, and can update data to your webserver/website. No new cost involved.
Another option is to replace the datalogger with a Weatherlink Live device. This is a WiFi/Internet device and uploads all your Davis station's data to Weatherlink.com which is the Davis "Cloud" platform. The current data is viewable by anyone through the Weatherlink phone App, as well as from the Weatherlink.com website at no charge. Weatherlink.com also offers a "paid subscription" option and that gives you, in addition to current data view, access to past data and charts. The cost is the price of the Weatherlink Live device.
In addition to the "cloud" platform and Weatherlink Live this also allows software like CumulusMX to access the near-live data and CumulusMX can then upload data to your webserver/website. No additional cost.
Enjoy,
Paul