I'm going to try using a smaller mug and then close the wings of the stove under the rim of the mug, holding it closer to the flame. This mug was just too tall for that.
Esbit does a wee stove with cup designed for esbit tablets
http://www.amazon.co.uk/Esbit-CS585HA-585ml-Cookset-Stove/dp/B001UERXOQ/ref=pd_sim_sg_1They also do a little larger hybrid alcohol stove as well with, which I think has a heat exchanger base on the pot!
http://www.amazon.co.uk/Esbit-CS985HA-985ml-Cookset-Stove/dp/B001UEL76Q