Is there any way to search for a transaction (via the API) when all we have is the refid that we passed to getHostedPaymentPageRequest?

(We are seeking a way to do a batch of queries on any transactions done via hosted payment pages that didn't get returned to us for some reason, e.g., the user closing the browser immediately after paying.  We know about webhooks, but we have some significant obstacles to using them, so we are hoping to find a shortcut that would allow us to search for transactions matching any refid values that we used to generate Accept Payment Pages but didn't get a transaction response from.)