Shaking isn't a great way to mix honey and water; stirring does a much better job. Also, heating is something most modern mead makers try to avoid - it causes you to loose some of the volatile aromatic compounds. Just so you know for next time.
How much honey did you use for what size batch? The sugar content of honey can vary, but not by so much that you'll see a huge difference between what you calculate vs. what you actually measure. Honey will contribute about 35 gravity points per pound per gallon. So to get your 1.160 OG, you should have used 4.5 pounds of honey per gallon. If you used 3.4 pounds per gallon, that would have given you the 1.120 OG.
Whatever honey you use will contribute to the character of the finished mead. I have not experimented with so many different types of honey, but I have made the same recipe using clover honey and using wildflower honey, and the mead with the clover was somewhat bland by comparison. But it was still decent, and it will get the job done if that's all you have.