Help Me, Part 5 (Improvising) - Blues Standards
The standard thing to do is to learn what Rice Miller played and you play it as well. Since this song is in minor, I recommend that you make sure to play all of the 3 draws as 3' (matching the minor 3rd found in minor) and deemphasize, or delete all together, 2+'s and 5+'s (the major 6th will clash in minor).
Another approach is to create your own solo. If you do this, make sure to stay to the Blues Scale (http://www.bluesharmonica.com/lessons/movement_exercises_study_2_scales), it contains no notes that will clash with minor.