I am in the final stages of a mini-fridge kegerator, basement remodel, wet bar project. I am putting my mini-fridge in the utility room and running the beer lines through the wall into a half barrel where the tappers will be mounted. I looked into the insulated box design, scratched it- too complicated and not practical. Looked into insulated flexible beer cooling system lines- again scratched that idea, too much cost and not worth the effort.
I am going to run the beer lines through the top of the fridge, through the wall and into the barrel tappers, about 2'-3' run outside the fridge. $6 for 1/2" pipe insulation from Lowes is all I am going to use. Sure the first half beer for the night might be "warm", however every beer after that will be cold, especially if I keep my fridge temp around 35 degrees. How warm does it get in your basement? Mine stays 68 degrees pretty much year round, even if my beer does warm up to room tempurature, its still a cool 68 degrees. Not like it will be hot beer. Besides it's beer and I'll drink it warm or cold. I might run teh beer lines through a piece of 4" flexible dryer duct or insulated felxible duct to insulate it a little more. One other thing to consider, when it comes to clean the lines, will you have to do it where they are, or will you be able to pull them out and clean them in your sink? I am going to clean mine in teh sink next to the tappers.