It would be far more impressive and "feels good news" than just one more insect-killing technological tool.
Far away where? Assuming we could airlift roaches anywhere - the location they get dropped off will be significantly impacted. In the best case you've condemned the roaches to await starvation (they will canabalize each other too). Which is like killing them with extra steps and wasted energy. Most likely they will impact the other living beings around them negatively.
Just quickly kill them when they are in areas that negatively impact your quality of life and don't feel bad when you do. Nature doesn't let you be neutral.
They don't eat wheat or corn, so that would be a solution, also they don't eat trees, so the forest is safe.
They will always find what they need in a forest, and in a lesser extent in a field, as they can lunch on whatever decomposed food or smaller animals they find. Very unlikey that they starve to death, at worst they just don't have enough stamina to reproduce, which is the natural way to autoregulate.
And a starved insect will slow down its metabolism and then die peacefully, there is no need to "show mercy" by putting it to death lol.
And members of my family who do not like roaches also agree that it would be better to not kill them.
But I really do need that for mosquitoes, with a tiny vacuum mounted on a quadcopter with a high-precision camera and a GPU for edge AI.
I guess some of y'all don't remember highschool and that one teacher you couldn't stand
If it disgusts you too much, why not let the drone do it for you.
Then again, if it disgusts you that much, you probably prefer killing the poor beasts.