A monokote heat gun gets to 400 degrees, and is most definitely hot enough to heat the case to release a undamaged bearing. The aluminum isn't very thick, and has a lot of "structure" around it that will not allow it to expand very much, a few tenths at most, but that should be enough to release a normal bearing. There is no danger of over heating. Heating the case to anything near 300 degrees either in an oven or with a heat gun heats the whole case, and should not expand an outer race that is not damaged. Spot heating with a propane torch could over heat the case, which will be hard to tell, and then grabbing the mounting tab and hammering it against a block of wood raises the possibility of damaging the case. The aluminum adjacent to the mounts would bend in a heart beat. To handle hot cases, I use welding gloves or a thick rag. Tapping the back of the case against a smooth, wooden block should not damage anything at these temps. What might be going on here is a cracked out race. The spring effect of the race would really wedge the bearing in place. One thing else to try that may take two people. If there is any kind of seal or shield on the bearing, pick it off with an o-ring pick or something like that. See how much room between bearings to see it a sharp music wire hook can securely grab the bearing. Make the wire hook long enough so that you can securely grab it with a pair of vice grips. Test how it grabs several times before trying it with heat. When the case is hot enough, have some one hold it with some gloves, while you try pulling on the hook, and maybe even tapping on the jaws of the vice grips with a small hammer. You want to create a pulling motion. I have a home made slide hammer type puller like this in my work toolbox for such things on machinery. You just have to make up something similar in a scale to do what you need to do. After a number of repeated heating and cooling cycles I would think that it would eventually pop out, unless, like I mentioned, the out race is cracked. Beyond this, I would have to have the engine in my hand to figure out anything else.
Keep us posted,
Dan McEntee