After getting tired of replacing non-stick pans before our stomachs became completely coated with teflon shreds, we finally got an large electric stainless steel frypan by Cuisinart. It is GREAT! First thing we discovered is that it is EASY to clean! We just put some water (maybe a little detergent added) in it to soak after use, and in half an hour or less the stuff scrapes off really easily - often mostly just with fingernails or the spatula. On the rare occasions when we've really scorched something on, a good scrub with a scouring pad does the job. We never use steel wool pads on it!
After that we got two stainless steel frypans for top-of-stove use, BUT with heavy clad bottoms on each for good heat distribution. These also cook AND clean up very well. You most certainly can use them at high heat. In fact, for less-than-high settings, we find is better to run the stove burner a bit higher than on light-weight pans. The heavy bottoms spread the greater heating evenly, allowing you to cook faster and better. When starting from cold, we turn the heat under them to high first to get them warmed up quickly (the greater mass takes more heat), then turn down to cooking temp. On the other hand, if I'm sort of pre-warming the pan empty for 5 or 10 minutes before putting something in, I'll turn it lower than cooking setting, because it will get pretty hot in that time with nothing in it - too hot to start your cooking. Then I turn up the heat after putting the food in.
One small note - we had one bad experience when we ordered a stainless steel electric frypan on-line, and it arrived with a non-stick coating in it. We had to return it and get a different one. Apparently "stainless steel" pans sometimes are sold with non-stick coatings, too.