With so many moons relatively close by, I'm kinda seeing why the Andorians were all about "Empire" when they became space-faring, prior to joining the Federation...
The Procyon system in real life is unsuitable to accommodate Andoria as it is described due to its stellar configuration so I decided to go with Franz Joseph's suggestion of Epsilon Indi. Though- with that star being a relatively cool one, and the fact that Andoria is a moon of a gas giant- it doesn't seem plausible that Andoria would be in the 5th or 7th planet system from the star as some Beta-canon sources suggest. So, again, I took my creative liberties and moved it to being the 1st planet system from the star.