Is it permissible to create a blog for broadcasting various satellite channels (news, educational, cultural, religious, children's, sports), while avoiding music and drama channels, knowing that some channels may include incidental, unintended Sharia violations, and that the purpose of the blog is to improve economic status and also attract visitors to religious content?

If most of what is presented on the channels is beneficial and permissible, and the violations within them are few and unintentional, then there is no harm in working for them, because the ruling is based on the predominant element. Spreading knowledge and scholarship is a good intention. Minimizing evil is a religious requirement. Ibn al-Qayyim mentioned that enjoining good and forbidding evil has levels, the best of which is that the evil disappears or diminishes.