Is your SQL code part of a SP?
Who calls that SP, is it interactive or not?
Depending on your situation, you might have some of the following options:
a) Call your SQL code from an application written in a compiled language (e.g. C++) or, at least, C#,
hard-code the password there and pass it to your SQL code.
b) Write an encrypted SQLCLR UDF that will just return your hard-coded value.
If you are in SQL Azure, the V12 version has support for SQLCLR: