There is still the old racing option, cycling shoes and slotted cleats; an option over 120 years old and that works as well as any of the new systems when you pull the straps tight as long as 1) you do not need float and 2) you can remember to release your toeclips when you stop.
Now, this system is by no means "walkable" though I have taken a pair of cycling shoes and had a cobbler add rubber around tehhe cleat and put on a heel. Not quite "normal" but very walkable. And those shoes do not damage floors nor do I slip.
I do fully half my riding on those traditional cycling shoes. If you want to go this route, get LOOK compatible (3-bolt pattern) shoes and look for Exustar track cleats. The simple ones, 2 bolt costing ~$20, are the ones you want, not the fancy (and far more expensive) sprinter's cleats that lock into the pedal. That setup is radically better than anything we had back when there were no other options. Easy to set up, easy to adjust and really good, long lasting cleats.
Ben