If you go to the trouble of building a GOOD tight lint box for the electric dryer with at least two if not three sides of it being higher efficiency pleated type air filters for a furnace, you can vent the electric dryer into it and gain 3 ways. First and most importantly, you will not be blowing 150 cu. ft. of nice warm air EVERY MINUTE of dryer operation out of the house that has to be replaced with cold outside air that will be drawn into the house through many small air leaks. While the gas dryer is cheaper to run, it really costs you money to replace the air inside your house because of heating (or cooling)costs. 2nd is the beneficial heat and humidity you will be adding to your home. Unless you wash and dry 12 loads a day, the amount of humidity will not overwhelm your indoor air. 3rd is that by using the dryer's heat to warm your home, it's almost like free heat since you have to dry the clothes anyway.
If you cannot consider doing this, only run your dryer during the time of the day when the air outside is warmest and maybe the sun is shining directly on the largest part of the house to help warm the air that is being sucked into the house. Is your dryer in a garage or other unheated space? If yes, keep the gas dryer installed and do not use the electric one, unless your area has a gas shortage, then try to use it vented indoors with the lint box or something like a pair of pantyhose on the end of the vent pipe.
Yes, you will have to vacuum out the inside of the box and maintain the seals to keep lint from escaping, but with the way energy prices are forecast to soar this winter, anything you can do to save will be rewarded.
Earlier this week, one of our TV weather guys talked with the weather person from the Old Farmers' Almanac about the winter weather predictions for the mid Atlantic and North East US. The FA guy forecast November to be mild. December would be cold the first two weeks and bitterly cold the second two weeks with our first snow in early December. January was supposed to be much the same except that it would be snowy all month. February is supposed to be 7 degrees above average for the month. They also said that the stormy summer would turn into a stormy winter.