Having got a 'muffin' fan (40mm x 40mm) in the huge amount of debris on my table, I got to thinking sideways.
They seem to vary between 0.07A => 0.16A, start up 7.0V, prefered running 10.8 => 11.5V
It occured to me perhaps everyone is too keen on the DIY !
As long as the sensor is in a rain proof, solar proof, freely vented enclosure - then with a few extra holes, this small fan could be mounted directly onto the thermo-hygo unit and provide more than adequate airflow.
This unit (say one of the 0.08A) could be powered by one of the many cheap enclosed Solar Panels you see advertised for cars, caravans etc. but would give no spare capacity for charging batteries.
A larger / better quality panel (say 2W or even 5W) would allow for charging 8 x 1.2 batteries (say 1000 mAh) - but as you correctly point out it is unlikely to give 24/7 operation in winter months, but I don't see that being a problem.
Talking of problems, the height of your sensor - how much of an offset are you having to apply to imititate 1.5(ish) metres ?