I think what you mean by "overshooting" would be better defined by the term "overdriving", as in the front-end receive stages of the nearby station(s), akin to if you're really close to an AM BCB station. I sometimes have that problem myself on 2 metres as i'm <2 miles from a television tower array (KOLD-Channel 13). Normally, their signal poses no problem to me...except when we get a fair amount of rain, have a low cloud ceiling, or a temperature inversion (fun on 2m/70cm).

Of course, YMMV.