Hmm, based on the (handwritten!) notes on Table F-2 in http://bitsavers.informatik.uni-stuttgart.de/pdf/exidy/DP500..., it looks like pressing Graphic+key would allow you to enter BASIC tokens from 0x80 to 0xBF, while pressing Graphic+Shift+key would allow you to access 0xC0 to 0xC6. By inference, it seems like Graphic+Shift+key should allow access to the entire 0xC0 to 0xFF space, but most of those keys are undocumented.
Based on this, I wonder if it's worth trying the following:
10 REM [Graphic+Shift+=] [_] [(] [Graphic+Shift+NumpadPlus] [2] [Graphic+Shift+NumpadEquals] [Graphic+Shift+Numpad6] [Graphic+Shift+0]
Note that you'll probably need an emulator with accurate keyboard emulation - or a real device - in order to type these in. However, with the emulator from http://www.liaquay.co.uk/sorcerer, I was able to confirm that Graphic+Shift+0 produced 201 (rendered as F4), and Graphic+Shift+= produced 255 (rendered as S), so I think this approach will work.
Bonus: Here's what all of the tokens >= 0x80 render as, including the corrupt ones:
This is based on a simple decoding of the token table starting at 0xf6 in the BASIC ROM; it matches the observed output for 201, 247, 252, and 255 so I expect that it is generally correct. Indeed, with `10 REMX; POKE 474, 249; LIST` in the emulator, I get `10 REMLNFSNRGODFCOVOMULBSDD/0IDTMOSLSSTCNUFMO` printed out, which further confirms this decoding.