Replacing this deprecated API is here: https://developers.google.com/custom-search/v1/overview and for billing they note:
Any use outside the free use quota will fail if you are not registered for billing. After you enable billing, you will receive 100 free inquiries per day. However, you will be billed for all additional requests at a rate of $ 5 per 1000 requests, up to 10,000 requests per day.
So the alternative is to just pay for what you need.
There is a lot of information on a similar question: What is the best image search web interface?
Someone in this thread notes:
As of August 2012, the Bing API will be part of the Azure Marketplace: free access is still available, but is limited by the number of requests (5000 / month). Google restricts free access to 100 requests per day.
So, maybe Bing has enough free quota for your needs? There are other options on this page as well, check this out.
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