Flyengr,
I am totally sympathetic with your concern over maintaining gliding capability to the runway in the event of engine failure. You can do that by flying a higher pattern, by moving your pattern in closer to the runway, turning base sooner, etc. All those things will steepen your profile, and still permit you to glide to the runway from anywhere abeam the numbers on. The wild card, of course, is the guy ahead of you....
I do NOT teach power off landings, necessarily. We mix them up.
And, you should not have to slow a Cessna down to 50 kts with full flaps to get it to come down aggressively. Generally, in those steep approaches, I almost always have to arrest the sink with power when flown at 60.
Play around with different profiles, in any case. You can make a steep approach and make it short, or you can drag it in using power. Up to you. I'm not a fan of dragging it in, though, for the reasons you noted.
As to using a slip in a Cessna with flaps deployed, just don't be stupid. Again, my Cessna 170, which has precisely the same wing as early 172s, has no admonition on use of slips, nor do any of the big Cessna taildraggers. Perhaps the concern on the airplanes with swept tails is rudder blanking, but again, the placard does NOT say DO NOT slip with flaps deployed, it simply says "avoid" slips with flaps deployed. Obviously, as you noted, if slips were prohibited with flaps extended, Cessna would also have a prohibition on use of flaps in crosswinds, and they clearly do not.
Again, practice a LOT of slips at altitude with and without flaps till you're comfortable with them, and simply avoid the most dramatic full slip with full flaps, and I think you'll be fine.
If your technique to fly steep approaches involves the use of light to moderate slips, just make certain you do them competently, and go for it.
I shudder when students drag in a long, long, low final.....
Sounds like you have it figured out, so keep up the practice.
MTV