I think the most valid argument you can use, for now, is that there's only 3 months left in the school year (assuming you are on a typical school year) and that you don't want to change schools in the middle of it.
Middle of the year school changes have all sorts of downsides -- your grades could suffer if the new school is ahead in the material, it is easier to fit in and make friends when you are not the only new guy. Whether that will be enough to change the plans of your parents or not I can't say, but at least those are issues they should recognize as real. Threats to run away or not study wouldn't be.
If they accept that now, then you are "safe" for the next six months, which is a lot of time. Much could change by then.
If you end up having to go, I think there is a good possibility you will find that you like it much better than it seems now.
