Thinking like that won't get you anywhere.
From the crystal structure of NaCl, the ionic bond is actually 6 electrostatic interactions. As an ion goes into solution, each ion surrounds 4 to 6 water molecules - the weaker interaction, but there are ~ 10 of these interactions per stoichiometric unit of NaCl. And as a result, we have such a negligible value of the heat of dissolution that we practically do not notice any decrease in the temperature of the solution when dissolving NaCl (except for physical chemists using special tools).
But if you mix snow or ice with solid salt, you better not try to touch this mixture with your hand because the temperature may be slightly below -20°C. This lowering of the temperature is mainly due to the energy needed to destroy the ice crystal lattice, not NaCl.