Hi Crung, if you haven't done an OLED yet just reball from the start. Don't go down the adapter route..
It's got to be a lot less stress than all the problems with DAT0 adapters we keep seeing here.
On Amazon (UK at least) I can see hot air rework stations going for between £50-£100. Consider it an investment.
Also, unless you've got the beady eyes of a shithouse rat you'll probably need a microscope. This isn't the one I use but you could probably get away with this as the cheapest option I could find:
https://amscope.co.uk/collections/s...pection-microscope-on-rotatable-gooseneck-arm
I can say from experience that the EMMC chip and the Switch PCB will take a huge amount of heat and will just keep smiling back at you.
To melt the factory installed unleaded solder balls you'll need to get the chip up to around 220C. (This is more than high enough to pan fry a steak). As long as you research the process and aren't impatient this kind of temperature really isn't dangerous. The materials in question are designed for this kind of heat. You also won't damage the data on the chip either.
Reball with unleaded solder. I know there are easier ways but I place pre-formed solder balls on the pads (covered with a thin layer of flux) using a sewing needle. I usually do about 10 at a time so It's easier to see if any of them move and then gently warm them up until they melt onto their spots.
The above steps are just one solution. There are many others but I think this is the cheapest. No stencils or solder paste etc.
Also, for under £20 on eBay you could buy a blank BGA153 chip that's identical to the Switch EMMC to practice reballing on.
For the rest of the steps you can see Sthetix's video here:
Here's some pictures of one I did last weekend (in random order probably)...