Have no worries, as others have mentioned modern safty requirements are extremely strict and nuclear plants are very closely monitored.

The basic design safety policy of a nuclear plant runs to 3,625 pages (Yes I've read them). This doc covers every aspect of plant design with virtually every contingency covered, upto and including aircraft penetration of the reactor building dome.

Like someone said you've got more to fear crossing the street, than the plant 3,5 hours away.

I have a second home which is only 5km from a site with two reactors. doesn't both me. Infact one of the nice features about the plant is one of the heat exchangers is used to heat a tropical sanctuary. Plants need to dump a huge amount of heat, best if it serves a purpose.