They can be active anytime around the clock, they can be doing just about anything around the clock. A given Red Fox though is very consistent about how it travels between patches it hunts, both in terms of paths taken and timing. Major weather changes can cause changes in patterns.
Check the Missouri wild life code linked below.
https://mdc.mo.gov/wildlife/nuisance-problem-species/nuisance-native-species/wildlife-control-guidelines
Pay particular attention to
DISPOSING OF TRAPPED PROBLEM WILDLIFE HUMANELY
Relocation not recommended
I think you will find that private...