Python, 102 bytes, score 9 (ASCII only code)

See Unrelated String's solution for a lower score by using non-ascii characters

def f(s):print(end=f"exec({'+'.join('chr('+'+'.join(['1']*ord(c))+')'for c in f'print({repr(s)})')})") 

encodes string using exc()hr1+

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Explanation

Encodes string as exec(chr(1+...+1)+chr(1+1+...)+...)

The executed code is print(S) with S being the string-representation of the input. The characters in the string are represented as sums of 1's

Python, 89 bytes, score 11

def f(s):print(end=f"exec({'+'.join(f'chr(0b{ord(c):b})'for c in f'print({repr(s)})')})") 

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encodes string using exc()hr0b1+