Got 2 more towers, 2 more shrines, up to 10 hearts! And have what now looks to be two-thirds of the map.
Lake Tower was straight-forward but surrounded by Lizalfos and Bokoblins, so much arse was kicked and the tower climbed. The other tower was much higher in terms of where the platforms started so I did some serious climbing and circumnavigation, got higher than I needed to be and glided straight onto just below the tower top!
I also have got my first horse - name? This is a Zelda game so named the first horse Opona, 'tis tradition. Also duffed up 4-5 mounted Bokoblins, which turned out to be a sidequest, so went to the stable and instant reward.