I would have the pick up buoy tied to one pendant and tie the other pendant to the dinghy painter. When coming up to the mooring in some heavy weather, I'd be able to concentrate on the pick up buoy and one pendant to secure the boat. When the boat is secure to the one pendant, then I can take my time to grab the other pendant with a boat hook, secure the dinghy to the boat and then fasten the pendant to the boat cleat. Less stress and only dealing with one line at a time.
That's how I did it with my Pearson 424 as I was often single-handed.
Once the boat is secure on one line you have all the time you need to do the rest.
If it was really blowing I would overshoot, grab the pickup from the cockpit and walk/run it forward.
If you take your time and think it through there always seems to be enough time.