Hello,I will be glad to try and assist you with this,Welcome to Just Answer.
Your ECS fuse on this vehicle powers up multiple components,if one of these components is failing it will cause this concern.I can list here all of the components that it powers up and you can unplug each one of these one by one to find which one is shorting out the fuse here.
Power steering pressure switch
EVAP purge solenoid
Transmission shift solenoids
Torque converter clutch solenoid
A/C low pressure switch
Mass airflow sensor
The fuse powers up all of these devices in the run and cranking positions so each one of these would have to be disconnected one by one to locate and repair the short.
Yes your shift solenoids are located in the transmission,they may have pinched the transmission wirin on install and this will short this fuse out.I would check the wiring from the transmission all the way up to the engine compartment to see if any are damaged or pinched and repair as needed.Most likely this is where you wil find the problem here.