I don't really have the option of bringing a dog, nor the option of aquiring one.
This is probably good news for you. There are plenty of tales here in Colorado of a dog high tailing back to its owner with a cat in hot pursuit.
Also, a Mt Lion is a remarkable machine. We had one in Boulder that went threw two of my buddies dogs like they weren't even there. A Beretta 9mm changed that.
If you can't carry a firearm, pepper spray, a knife and a club are your friends...so are your friends, travel in pairs. Remember that Mt Lions are to be fought, so if the pounce fight your a** off. It's not like a Grizzly wherein you play dead.
Look around constantly (this is not condition white terrain) and have others do the same, since the lion is going to spot you way before (or even if) you spot it. Look high - they frequently attack from above.
If you suspect you're being stalked, and have seen the animal, but cannot make it to safety in time, find a defensible position, gather rocks, sticks, or whatever else can be thrown at the cat and see what happens. Don't underestimate the power of a good "rock shower"; pelt it with plenty of force and it may think twice about you as easy game.
I hope this helps. Be careful but not paranoid. Have fun.
Take care,
DFW1911