For the moment, I'm going to assume you can/will use the Win32 API (e.g., via. P/Invoke). .NET may have a wrapper for the function I'm going to suggest (but then again, it may not -- I'm really not sure). If it does, it'll be up to you to find and use it. Most of what I'm suggesting is more about the basic approach than the function anyway.
You can use GetTextExtentExPointI
, which will compute the size of a rectangle necessary to hold a set characters you specify and (importantly) the horizontal position of each character in that rectangle.
So, what you want to do is use this to compute the size of a rectangle and position of each character in that rectangle, with it assuming normal kerning of the characters. Then, you'll divide the width of that rectangle into the width you actually want. This will give you a factor by which each position must increase to get that character to the position you want. You'll then multiply the position it returned for each character by that factor to get your desired position.
Just for example, let's assume it gave you positions of 0, 17, 35 and 44 for the characters with normal spacing. Let's also assume your target rectangle is 1.8 times as wide as the rectangle it computed for normal spacing. You'll take each of those positions and multiply by 1.8 to get the position you want to use for that character, giving 0, 31, 63, and 79 for the "corrected" positions.
Then you'll (obviously enough) go through your string and draw each character at the computed position.