It's what I do.
To the original poster - do you have a big exhaust fan where your dryer is? If not, consider where you are going to brew. 240V extension cords are expensive, and condensation is a big problem, as well as removing heat from the boil.
If that's the scenario, then consider the kitchen, where you may already have a significant exhaust fan. Two 1650 watt elements in the kettle going to different circuits work great for 5.5 gallon batches, and leaves enough overhead in the circuits for pumps, etc. and whatever to not trip the breakers.
(One of these days, I need to document my build.....)
I do have a big exhaust fan that can be put in that area, and there is a window directly near the washer. Keeping it cool and dry should not be a problem, although I may need to figure something out for the summer. I just checked, and in my kitchen I have one 20A breaker and one 25A breaker, so that could definitely work with the PID and one element working off of one circuit and the other element along with any pumps or whatever I need working off the 25 A one.. That is definitely something I'll explore. I think I'm going to post a comparison between the two builds and see what people think. thanks for the input!
I mentioned previously that I am not buying anything until the end of the month, so i have some time to work out kinks.