No parking lights, fuse keeps blowing.

this is 2010 not 1990 the fuses DO NO RUN PARK lamps directly.
like they did from 1920 to say 1999. sorry.
TAIL is PARK and PARK has up to 10 or 12 lamps.
all side, front and rear park lamps glow and Rear lic plate too
and even some side mirrors too.
so all are dead?, not told if some many lamps, and MATTERS most.
you skipped step 1, scan the OBD2 port. for DTC errors, oops
why skip step 1? a challenge to learn why BCM fails?
this is no 1990 car, or older, it is 2010. evolution happened and BCM too. the body brain (by any name)
the German manual calls them
standing and parking lamps and DRL controls.
read the wiring schematics here
https://eautorepair.net/Marketing/Default.asp

there is front and rear sub body controller for lamps too;.
on this car and if the CAN_bus network, fails to that module
everything there fail. scan the PCM and see all errors
or check all fuses for blown, and if non blow, scan the OBD2 port under dash.
USA answers, nothing else. me.

The dimming fuse supplies battery positive voltage to the license lamps, underhood lamp and to the dash integration module (DIM) park lamp input, for interior lamps dimming.
Dimming fuse 10 amp. under hood fuse box. the park lamp relay supply's battery power to that fuse .

The dash lights should be on a different fuse from the parking lights.
You'll have to figure out which circuit, then check the lamp sockets and wiring for a short to ground.

On "most" vehicles, the parking, tail, lic plate AND dash lights are all on the same circuit. Usually, the fuse will be labeld "park", "tail", or "illum".
If you have dash lights but no park lights, it's likely that there is a break in the wiring somewhere...

did you check them in the dark to see if , not just dim?
what sub model, EX, or LX? the LX is very different.
the car has 2 fuse boxes. did you know that, most cars do.
the fuse is called fuse #10 (fuse 10 runs hazards too, are haz dead?)
box one in cab, and 2 in engine bay.
the HAZ fuse is marked, HAZ

park/dash dim all dead, this is the largest path in car, over 20 lamps on most cars. (lots of places to mess up)
all are dead, all parks, front , rear, side and cab (dim) dead??????
even the license plate lamp>>>> details?,,,,, help, im blind..
here ill login to alldata.com for you, so can you at anytime.

ok this car can have a tail light relay. the LX dont have one.
the combo switch (1st click ) turns on park(tails)
and the relay energizes and runs all the park lamps.
but not on the LX, the LX is switch direct drive to all parks.
so?????

found this with google. NON LX !!!

Fuse #10 (15A) Audio unit, pocket light, clock, climate control, cruise switch light, gauge assembly, hazard switch light, heater control panel, interior lights switch light, driver's multiplex control unit, power sliding doors switch light, rear A/C switch light, taillight relay TCS swtich light.

Check your Grounds and make sure the sockets are cleaned out very well

Since these lights will work auto or manual is there a relay that might be bad. You mean these light's won't work auto or manual ????
Did you check the TAIL LAMP LIC LAMP fuse 15 amp . ?
Located in the right I/P fuse panel open passenger door plastic panel end of the I/P pull ,fuse box behind . This fuse takes care of the thing's your having problems with

I think your problem locating the fuse may be because Ford refers to the lights you are describing as "PARK" lamps, instead of "TAIL" lamps. The PARK fuse is Fuse #22 (15 Amp) located in the Smart Junction Box (SJB) in the center of the dash.

HINT: This same fuse also protects the circuits your front park lamps, if they are working, the fuse is not blown.

could be bad headlight switch

tracing short circuits can be tricky you need a good electrical knowledge and a bit of luck.what items are not working when the fuse has blown? concentrate on these items first follow the wiring back from these loads looking for chafed wires . if you cant see anything put in a fuse and switch the affected loads on one at a time until the fuse blows when this happens youll know which circuit to concentrate on.