Maybe you can pick up some info here.. AS one person remarked about the different style of blues.
http://www.guitartricks.com/forum/archive/index.php/t-15479.html
You did not mention the PU configuration on your Squire. or anything about your amp.
Try a test with guitar set on neck PU, middle tone setting.
Amp setting Volume 5
Treble 6
Bass 4
if you have Reverb 2
There are a massive amount of setting you could use. And as many different sound taste.
Also there is a difference with how you play and the phrasing you use.
I think I would hold off on making changes until you have explored the possiblities of you rig.
You may check out this video {rig roudown with Kenny Wayne Shepard). this was the first video I knew to be a blues player.
http://www.premierguitar.com/Video/20120223/1846/Rig_Rundown_Kenny_Wayne_Shepherd.aspx
Good Luck. Hope you find some useful info