Hmm interesting, it would be nice if you made it easy to run or create such programs. How would it work, by the way? Also would it work with Axe too?

I think you are misunderstanding how the so-called "8KB limit" works
To my knowledge, it is _not_ PC being >=$C000 that causes this problem, it's that you're running code on a so-called "protected page".
On the plain 83+, for example, the page typically in the $C000-$FFFF range is RAM Page 0 ($40). If you go and, say, output $40 to port $06 and then try to run code at $4000<=PC<$8000, the calculator will reset.
Admittedly, this idea could work, but never on the plain 83+. The 16KiB of executable RAM it has is simply too little. (Not to mention the OS needs it)
Sorry to be such a downer

I hope you make it anyway for the SE. It sucks that it won't be BE compatible if you use the extra RAM page, but some people might be making CPU-intensive games like a 8 level grayscale 3D polygon engine or a full port of Crysis II that just won't be enjoyable on a 6 MHz calculator and that might be useful for them.