cats can be done in box traps. Have done it quite a bit as have friends, but it takes the right trap and being set up correctly.
Did it somewhat by accident this year, was using a bigger trap and had backed it into/under cedar to keep the coons from reaching through the back...
A few places I prefer to use box over leg due to issues. This area I have a white coon and her half grown one on my camera all the time...trying not to catch them in a foot trap though I've caught her once already this season...and turned her loose.
