Redneckracing described what's happening, the warmer air condenses on the cooler interior. Warm spring days will usually have a higher dew point than the frozen soil and concrete.
Best solution is a vented heater. Unvented heaters will build up moisture all winter, a vented heater can warm up the shop in the spring, then use a dehumidifier and a ceiling fan inside. Any heat through the winter will dry out the concrete and structure. Exposed wood will act like a moisture buffer, so a mild dessicant if it's been dried out over winter.
Also, helps to tighten up the shop, no air leakage, no moist air coming in. A dehumidifier works good if it gets warm enough. The dehumidifier will add the total of electricity it burns, and the latent heat of water it condenses, 1,000BTU/pound. If you get a rare warm dry windy day, open the doors and windows to warm up the concrete slab.
If you have an exposed south facing wall of the shop, a solar dehumidifier is easy to build. Basically a single layer of glass outside the wall with an air space and sealed from the outside, but open top and bottom to the interior, and with a drain at the bottom for condensation to drip outside. The idea is for it to circulate warm air inside during the day, and at night circulate warm air in the top, condense water onto the glass and drip outside.
"best" solution is a water to air heat pump with air to air heat exchanger on the ductwork, hooked to the floor heating, but running AC with the heat exchanger for an extra low dew point. Sounds ridiculously complicated, but it's reasonable for the effect.