Why not just take an extra paper or styrafoam coffee cup (probably less than one ounce) make drinks in this, while boiling water and cooking in the titanimum solo pot? Get one that nests into the solo pot so it will not get crushed in your pack.

My titanium cup is hot too. However, when it is too hot to touch, I probably should not even be drinking something that hot. Once a drinkable temperature- it does cool quickly - probably a cup cozy would help this.