There could be cases beyond what I recall but the ones I do recall all involved very dry and very hot conditions, nothing like a climate controlled condition aimed at keeping a comfortable living habitat as the OP suggests.
The cases I'm seeing are news accounts, therefore few details regarding the home environment. However, they occur in different states and under different circumstances, so I don't see how they could all fall under the very hot/very dry bit. An incident in Missouri, a couple in California, another in Florida - none of them climates known for unusual dryness. Time of death in relation to season is unknown in most cases, but a story out of West Virginia involves a person last seen alive during the Christmas season.
http://www.foxnews.com/health/2011/03/09/mummified-remains-dead-hoarders-home-missing-mother/
http://www.ktla.com/news/landing/ktla-mumified-remains-of-playboy-playmate-found,0,7615273.story
http://blogs.laweekly.com/informer/2010/09/update_on_mummified_remains_of.php
http://articles.cnn.com/2007-01-23/...torage-area-storage-bay-storage-unit?_s=PM:US
http://www.wvmetronews.com/index.cfm?func=displayfullstory&storyid=33524
Some instances involve someone continuing to live in the home after someone else has died. Couple of hoarder stories like that, but again no information about climate, whether the person was still paying their utility bills and maintaining a comfortable living space or was without power and at the mercy of the elements. In some instances the bodies were wrapped in plastic or enclosed in trunks, circumstances which should result in a very humid environment around the body itself, at least until fluids or vapors find an escape. In other instances, it's just people who died alone in their homes and weren't found till long afterward - again, not clear whether the home had climate control at the time of death or for how long afterward it was maintained.
Consistent in all cases is that while circumstances didn't prevent decay of soft tissue - and an odor of decay is often remarked on - the weather, insects and other creatures that might break down the skin or damage it in the course of getting at the soft tissues are largely or wholly prevented from doing so. The soft tissues putrify, liquify, drain off, producing a distinctive stain on whatever materials the body happens to be lying on, but there is nothing to disturb the skin surface itself other than mold, loss of oils and moisture, and the stresses implicit in the putrefaction of the soft tissues. Barring some external factor like weathering or animal action, the skin is the last of the body's organs to decay. Given a bit of time it'll go too, but the fact that it lasts much longer than the soft tissues if not affected by insects and weathering may account for the frequent stories of "mummified" remains being found in enclosed environments.
One needs perhaps to be careful of definitions. These remains are "mummified" in the sense that they appear mummy-like - intact, though dried out - to the casual observer. The expert might point out that they differ radically internally from Otzi or Tut, but the average person who encounters them is no expert on mummification. Unless the character who encounters the deceased has such expertise, describing the deceased as "mummified" or "dessicated" should serve for gaming purposes.