Take a look at this - For that type of tool BAML certainly is a solid contender for your inference layer but I think you would end up finding you are still lacking tons in the workflow, GUI layers and would end up rolling your own thing anyways:
https://mirascope.com/blog/prompt-management-system#1-lilypad
"Prompt Management" is this pillar in the LLMOps domain.. (Agenta, PromptHub, Langfuse) .. some "Eval/Trace" tools will also inlcude things like this - but there are so many features interwoven ** some that make sense.. but the inference of the prompt is one of the smallest/simpler pieces.