Is there a place in your house that has a somewhat constant temperature? That would be the ideal setting. What you really need to focus on is not so much the ambient temperature of the room (although it will be a factor) but rather the temperature of the must (fermentation). Yeast produce a lot of heat during fermentation. Commercial yeast has various fermentation ranges, for example RC212 has a range of 59F - 86F, if the must temperature gets above or below this range then the yeast can die off and you end up with a stuck fermentation. If the must temp gets close to or above the high range you can use ice to cool down the temp.
In October I fermented 50 gal of Zinfandel in my garage. We had a cold spell and overnight temps dipped into the low 30's, the high for the day ranged from low to mid 50's. Knowing that October is an iffy month for cold where I live I purchased two types of yeast. One EC1118 had a low range of 45F, the other 59F. I went with the EC1118 and had good results, a few days my must was pushing 50F but the yeast continued to work, albeit slowly. I would not be so concerned with the 50F temp of your house because the fermentation will likely keep the must temp in the 60's or 70's, but be concerned with the 75F. You will need to find a yeast that works well in the higher range (again we are dealing with the temp of the must not the ambient temp) and keep a careful eye on the must temp. When a yeast struggles at the higher end of the range you can not only end up with a stuck fermentation but also the strain on the yeast can produce hydrogen sulfide, which is a rotten egg odor.
Hope this helps.