I did kind of an experiment. I bought a small chuck roast, and cooked it loooow and slooow in the oven. I made a sort of herb crust (salt, thyme, lots of black pepper, garlic powder) and put it in the oven at 200 F for about 4 hours. After about 3 hours, I added a roasting pan full of veggies: carrots, parsnips, sweet 'tater, onions, and beets, all cubed and slathered in olive oil.
After the veggies were in for about an hour, they were well heated and softened, but were not at all carmelized. So I took the roast out, wrapped it up in aluminum foil, and then wrapped that in good insulation to keep it warm. (I used my winter coat.) In the meantime, I cranked the oven to 450 to caramelize the veggies. I put the meat back in for 10 minutes or so to crisp it up.
Worked out really well. The meat was very tender, and was only cooked to medium-rare or medium. (Internal temperature was 139F.) Veggies were well caramelized and delish.