Original baking time based on ingredients already being warm to hot

For Baking, to double the quantities, try the following:

• Remove 1/3 of the cooking time.
• Double the remaining amount.
• Add your original third back on.

So If you're doubling something that would take 1 hour to bake.

• Remove 1/3 (Leaving 40 minutes)
• Double this new amount (Giving 80 minutes)
• Add your original 1/3 back on. (100 minutes)

You may need to play around with the temperatures to make sure that you're not burning the outside.

Generically speaking meat that is appropriate for a braise is tougher and has connective tissue that can be turned to gelatin by the long slow cooking process. As you've noted, meat that is tender can be "cooked to death" using that same method, so I would, generally, recommend against using a braise.

However, a stove top braise can go quickly without ruining the meat, if you keep it short and treat the braising liquid as more of a sauce than anything else. I would suggest that you brown each side of your lamb chops, then add all your other ingredients. Depending on the amount of liquid your original recipe calls for, you might want to cut back. I wouldn't want more than 1/2 cup or so of liquid. "Braise" covered on the top of the stove for 1/2 hour, never going past a simmer. Pull out the chops and cover, while you reduce the braising liquid to make it more sauce-like, then spoon onto the chops.

Note that you won't have the long time to meld flavors, and if there are big chunks of garlic or onions, they won't be a sweet as in the longer braise. But you should get a serviceable dish.