The likelihood of an antenna interfering with another antenna diminishes as their respective frequencies get further apart. Typically, if they are on different non-harmonic bands, it won't be an issue, and if they are harmonic, the higher frequency antenna might cause interference on the lower frequency antenna, not the reverse.
Dishes are probably above 400MHz, likely above 1GHz. (The usefulness of a dish diminishes if the diameter is <1 WL.) The lowest possible TV antenna might be 54MHz, but this depends on your country to some extent, and a lot of the lower bands have been phased out for TV use.
So it is unlikely your HF antenna will interfere with other commercial band antennas on the roof.
Having said that, if you put out enough power, it might be possible to give other electronics supporting those antennas front end overload. If this does turn out to be a problem, better grounding and shielding of those electronics might help, but you'd have to have cooperation to get that done. Being a beam might actually help, because unless a high power lobe of the beam is unfortunately aimed at something that can be overloaded, likely the side lobe power would be low enough to not cause problems.