These are delicious and they don't seem to go very far. The roasting really brings out the natural sweetness in the carrots, adding sugar to the parboiling water and the honey at the end really plays well against the thyme. You may want to use more carrots for a larger batch.
As far as the thyme, be conservative with it, the roasting seems to really enhance the flavor and the thyme could easily overpower everything else. Stick with the 1/2 teaspoon unless you are making a huge batch; use more next time if you want to.
Also, just use your judgement on the honey. I don't really measure it, just kind of drizzle it over the carrots until it looks right; if you like them very sweet, use more, not so sweet, use less. It ain't rocket science.
A great substitute for the honey is Maple Syrup