All you need is someone who has been educated in heat transfer to do the calculation for you, and a reasonable estimate of the range of external conditions. Will this be exposed to rain? Is there a problem with over-cooling it?
If you're worried about how cold it could get, then if it rains or snows outside, that will set your shellside (tube exterior) conditions for the heat transfer calc. For snow, set the tube exterior to a uniform temperature of 0 C...heat transfer will be controlled by the tubeside film coefficient entirely.
If it is indoors, you need only the ambient temperature and an estimate of the free convection heat transfer coefficient for the tubeside. Estimates good enough for what you're doing can be found in a table- you don't need to calculate it in detail using correlations. It then becomes a straightforward single tube heat exchanger calculation, a model for which you can find in any heat transfer textbook. The thermal conductivity of the tube metal is unlikely to matter, as both your tubeside and shellside convection film coefficients will be poor relative to the conductivity of a thin piece of just about any metal. But the model you find in a heat transfer text will take the metal into account, just in case. If your calculation shows that the tube metal is a significant fraction of the resistance, you've done something wrong.