What you can do is use the customization feature of Ultimate Backup and Stop the Ped to set it to the desired ped. Ultimate Backup comes with customizable XML files that'll let you change the ped model of the coroner. You can just scroll down to the coroner backup section and change the ped model from "S_M_M_DOCTOR_01" to "mp_f_freemode_01". From there you can fill in all of the corresponding EUP components you would want. Then, if you call for the coroner using Stop the Ped, they'll respond with whatever you have set.
For example, here's a line from my Ultimate Backup XML that gives lspd backup EUP uniforms (I haven't changed the coroner so I don't have an example for that):
<Peds>
<Ped comp_tasks="14" comp_shoes="52" comp_shirtoverlay="191" comp_shirt="1" comp_pants="36" comp_hands="53" comp_eyes="9" comp_accessories="57" comp_decals="1" chance="50">mp_m_freemode_01</Ped>
</Peds>
You can download both mods from here:
https://bejoijo256.wixsite.com/bejoijo