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Have you looked into a rocket mass heat stove? Look it up on you-tube.

For cooling in the summer. Build wooden shutters for the windows facing the hot sun in the summer. Or window awnings that sit low enough. Shutters are better so you can open them all the way in the winter.

Is your floor insulated and with a vapor barrier? Drafts can cause that too. If you sealed up your home tight then you could run a fresh air intake entering just under the wood stove so your fresh air will be preheated.

If you drew out the layout of your tiny home on wheels and the whole property with due north marked on the diagram then you could get better help. As far as i know you would want the whole solar aray to be together in the middle of the clearing on the farthest north side of your property facing due ...