gpt-4-turbo-2024-04-09 has vision capability (without vision in the name). It is built on the same gpt-4-turbo platform as gpt-4-1106-vision-preview. It has the same $10-$30/1M pricing as gpt-4-vision-preview, reflecting its computational performance.
Still, gpt-4o has different vision abilities that you may find advantageous in particular application, at less expense.
gpt-4o-mini has higher image cost than the latest gpt-4o, due to peculiarity about the competitive pricing policies OpenAI has placed for image analysis applications.
The best alternative for you may be the one with the least changes in the model architecture, if you want to continue your application with similar performance, without needing complete re-evaluation and redesign of prompting to reach objectives.