I study Dyshidrosis. yes, it is weird that it does not itch. But on your palms and soles seasonally and the 'little fluid filled blisters' (vesicle is the proper term) is the perfect discription. I haunt this site to find mis-diagnosed cases. GPs do not understand it.
Since it is seasonal, this is most certainly the allergy to an airborne mold or pollen. More likely a mold. (Be careful if you ever take penicillin, you make have a allergy to it, as it is derived from a mold)
You need a drug called Toctino made by Baselea of Switzerland. Oral for 90 days. No alcohol and dry flakey skin as a side effect. If your doctor gives you steroids, as a topical cream, this is an old treatment and causes the vesicles to heal in the middle and spread outwards, as this is basically a histamine reaction. Not recommended. Often you can take anti-histamines to calm it down, but this is not a cure, and it will come back when you stop taking them. Fexofenadine, at 60mg every 12 hours, or if bad, every 8 hours. But if this does not make the vesicles clear in a week. Stop taking the fexo.
It is better to see an allergist or immunologist than a dermatologist. Podiatrists (I am one) known a lot about it as we see it as an allergic reaction to tinea, better know as Athlete's foot. Unfortunately we are not allowed to prescribe Toctino.
You can talk with me via email@example.com or www.dyshidrosis.co.uk
You should have a liver function test before taking Toctino.