To slybarman, check out this thread on installing a thermosyphon restrictor in an Expobar Office machine:
Installing thermosyphon restrictor on expobar office pulser. I had a VERY similar flush routine when I first got my Expobar Office Lever (which looks very similar to the Cuadra - manual E61 HX) - I had do to really long flushes to get my grouphead down to a proper temp.
After I installed a thermosyphon restrictor, though, my flushes are MUCH shorter, and for some coffees that I like a little hotter I don't do any flush at all. A thermosyphon restrictor is just a little teflon washer, basically, that restricts the flow of water from the top pipe going into the grouphead, and it makes the grouphead idle about 10 degrees cooler. I'm really glad I installed it on my machine - makes my routine a lot faster and simpler.
I don't know if the Cuadra has a similar restrictor available (or if it already has one installed), but you may want to look into it with your distributor.