DIY Passive Chilled Beam, Condensing

Good evening! I have a question for you, the wise folk of radiant. I have delved into the HVAC sites, forums, PDFs, white papers, and of course done a deep search of The Wall here.

I realize that in actual usage, chilled beams must run above dewpoint, lest they condense and drip water onto folks, and furthermore a laminar flow of air that cold would be most likely uncomfortable at best in, say, an office environment. And that dehumidification must be handled by a DOAS (albeit significantly sized-down to only handle latent heat). Same would apply to radiant ceiling panels like Messana, et al.

But what I would like to know is (and this is strictly theoretical; it's just been bugging me): Supposing I had constructed a chiller capable of delivering, eh, let's say 40-45degF supply water and I wished to pipe it through a series of finned baseboard tubing strung up in my garage. To handle the inevitable condensate, I would rig up a set of drip trays that slope a wee bit and drain harmlessly outside. Sorta, kinda, like the gravity coils I've seen mentioned here for flower shops I think. Putting aside the fact that they would condense like mad and spill plumes of chilly air downwards, I just cannot shake the mental image of coming in from mowing the lawn on a 95deg day and standing under that whilst drinking an icy wobble-pop.

Now. Please do (and I do mean, sincerely) pick this apart and tell me how it wouldn't work. Efficiency, sizing, slow to respond, anything. I actually don't work in HVAC at all (automotive/heavy truck industry) but ever since reading Holohan's books 20 years ago I've been absolutely fascinated by all things heating and cooling, and the weirder the better. Thanks for your time; you all have provided me with so much thinking material over the years!