Let's take a step back and think about WebAPI. WebAPI in essence is a raw data delivery mechanism. It's great for making an API and it elevates separation of concerns to a pretty good height (specifically eliminating UI concerns).
Using Web API, however, doesn't really change core of the issue you are facing. You're asking "how do I want to query my data store in an performant manner and return the data to the client efficiently?" Your decisions here really parallel the same question when building a more traditional web app.
As you noted, oData is one method to return this information. The benefit here is it's well known and well defined. The body of questions/blogs/articles on the topic is growing rapidly. The wrapper doesn't add any meaningful overhead.
Yet, oData is by no means the only way you can do this. We've had to cope with this since software has been displaying search results. It's tough to give you specific advice without really understanding your scenario. Here are some questions that bubbled up as I read your question :
- Are your results sets huge but users only see the first one or two
pages?
- Or do user tend to page through all of the results?
- Are pages of results limited (like 20 or 50 per page) or 100's/ 1000's ?
- Does the data set shift rapidly, so records are added as the user is
paging?
- Are your result sets short and adding columns that repeat tolerable?
- Do you have enough control over the client do do something out of band -- like custom HTTP headers, or a separate HTTP request that just asks for a query summary?
There really are hundreds of options depending on your needs. I don't know what you're using as a data store, but I wrote a post on getting row count efficiently. The issues there are very germane here, albeit from the DB perspective. It might help you get some perspective.