Yo Jordan,
Welcome!
Did you pull just the radio out?
Is the starter cranking engine?
If not:
Wiring Diagram @
http://www.revbase.com/BBBMotor/Wd/DownloadPdf?id=7214
Check for battery voltage on red/light blue wire on Starter relay,
With key turned to start.
..
Starter Relay Location pic in a 96
Source: by Roadkill (The Beast)
..
The starter relay trigger wire (LG/R) comes from the ignition switch via the clutch switch or MLPS and should only be hot with the key in START and either the clutch fully depressed, OR the auto shifter in P or N.
The red/light blue wire goes to the small pull-off terminal @ top of the starter relay.
Starter Relay pic in a 96, on passenger side, near battery
Source: by Shane C. (BigBlue, bigbluebronk) at
.... If the relay fails, bridge between the 2 large studs to send power to the starter solenoid. If the starter still doesn't spin, crawl under the truck with reliable person in cab and ensuring transmission is not shifted and with parking brake on, foot on brake pedal, remove the red plastic cover, and BRIEFLY bridge between the 2 large studs on the starter solenoid (using a heavy metal object with an insulated grip, like a screwdriver) to spin the starter (it won't engage the flywheel or crank the engine). If it still doesn't spin, replace the starter.
..."