Thanks shoutingsteve. I found this program NTLite that advertises being able to slipstream applications into a Windows ISO. My only concern with that is the laptop not having all the default drivers it needs for its hardware.
Also thanks to SolarNova for the suggestion. It seems like a cool utility, but not as automated as I was hoping for, and the selection of applications doesn't include all I need.
So ultimately I've decided to just reset the PC myself, make the changes I want, and forget having the recipient be greeted by the welcome screen.