I suspect that you also have need to maintain relative humidity, which will be harder in winter. Your target temperature is 28°, and your dew point is probably 23° to 25°. Air coming in at 7° will have a dew point less than that. If you have a design to spray excess water on packing and raise your humidity, that is best and ideal, but if you don't have the temperature control system, you don't know if the humidity system works, either.
If you have steam available, or can build a small 1 bar-a steam generator, that will be the best way to add both heat and steam, but you might be surprised how large it must be. Humidifying will also usually decrease the temperature, so only on the warmest days will you need to cool. Use a heat exchanger with chilled water on the cooling fluid side for those 3-4 months where cooling is needed. Depending the size of the reactor, a lab-scale chiller might work - and if you have built it of acrylic, it's probably quite small. Otherwise, a refrigeration or absorption chiller is also expensive!