Befunge-98, 884, n = 14, score ≈ 2.636
f00f00f00f00f00f00f00f00f00f00f00f00f00f00f0xxxxxxxxxxxxxxx"""""""""""""""fffffffffffffff'''''''''''''''000000000000000\\\\\\\\\\\\\\\'''''''''''''''000000000000000\\\\\\\\\\\\\\\'''''''''''''''fffffffffffffff\\\\\\\\\\\\\\\111111111111111---------------:::::::::::::::!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!000000000000000aaaaaaaaaaaaaaa---------------bbbbbbbbbbbbbbb---------------***************jjjjjjjjjjjjjjj$$$$$$$$$$$$$$$'''''''''''''''+++++++++++++++kkkkkkkkkkkkkkk,,,,,,,,,,,,,,,333333333333333kkkkkkkkkkkkkkk$$$$$$$$$$$$$$$000000000000000{{{{{{{{{{{{{{{'''''''''''''''888888888888888uuuuuuuuuuuuuuu'''''''''''''''!!!!!!!!!!!!!!!111111111111111+++++++++++++++'''''''''''''''xxxxxxxxxxxxxxx###############;;;;;;;;;;;;;;;:::::::::::::::!!!!!!!!!!!!!!!kkkkkkkkkkkkkkk@@@@@@@@@@@@@@@dddddddddddddddkkkkkkkkkkkkkkk:::::::::::::::eeeeeeeeeeeeeeekkkkkkkkkkkkkkk,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;
This doesn't just work when you remove exactly 14 characters, but even when you remove any amount up to 14 characters.
n = 14 may seem like a very arbitrary choice, but the technique I used can in fact only be used for radiation-hardening orders from 1 to 14, but not easily beyond that (it might be possible but I have no clue how). The order-1 quine is merely 77 bytes (although it employs some golfing tricks that don't apply to larger n):
200 20 xx""''dd22**..aa22**..33kk$$00{{''##uu''!!11++''xx##;;::!!kk@@::,,,,;;
I guess I'll start working on an explanation then. :)