Rapid Rise yeast is a different strain (European IIRC) than regular. The ascorbic acid is basicly powdered Vitamin C. It is used as a "dough conditioner." I believe that it changes the pH of the dough, creating a more viable enviroment for the yeast. (pH for yeast are important in the science of beer, wine, and cheese making)
Doubling the regular yeast will not have the same effect. You might try making sure your ingredients are at least room temp. Most important with the yeast. The liquids and fats could be warmed to luke warm (baby bottle temp.) Then try creating a "proofing box." (An enclosed area with the heat = to a 60 watt lightbulb.) I have put bread in the furnace room in winter. At another house, I put it in the pantry next to the oven. It is not recommended that you use the oven as the lowest temp is too high.
Cool house is not a problem I usually have in the summer and I'm in the northern regions. If the house is too humid or warm, you would actually need to reduce the liquids and yeast. This is what I have to do in the summer.
If you can aford it, a bread machine will not only mix and knead the dough, but also create the "proofing box" effect for rising. I use my machine primarily for this purpose, shaping and then allowing the second rise on the counter. (It also helps isolate the dough from some of the wild yeast in the air.) At this point, the yeast is so well established, failure is unlikely. Tests done at King Arthur found that a bread machine mixed and proofed a lighter load than even a kitchenaid and proofing oven.
Don't give up yet.