I want to start by saying that we are clean people. This past winter was very cold because of the polar vortex. To our dismay, we had a visitor that explored our stove. A mouse, eek! To an even bigger dismay, we realized that when we tried to use the oven, it stank to high heaven. To make a long story short, this is how you clean it. Trust us, we tried everything.
Clean the oven thoroughly. Remove broiler drawer and clean underneath that. Slide out oven and clean the floor. You'll be surprised how much a mouse can squish down and get under anything! Now that that is done, it's time to get the stink out. We boiled two pots of 1:1 ratio of water and vinegar in the oven. You will notice it still stinks but bear with it. Start on the broil setting and, after an hour, move to 350 degrees F. Once you notice that the smell is mostly gone, add something fragrant to the water pot in the oven. I used rosemary sprigs and lavender oil. Leave it on for another hour and you should be good to go.
I think the most important part of this is making sure that you cleaned up all the deposits left behind from the animal otherwise you will just be cooking it. (barf) Also make sure you have your windows open and fans going, as it can be overwhelming. Good luck.