After selecting the range in Spending or Income (like This Month, Last Month, etc) provide a search window to find a transaction by Payee, Category, Date, or amount.
"Search" would be a welcome enhancement.
Quick workaround: Sort the register by Payee (or other desired column) and scroll until you find what you're looking for.
Quick workaround #2: Use the All Transactions register, select the desired Filter criteria. This register has a Search function already available.