Some parts of Amazon allow restricting by price, but this option's not on the kindle store search page. But if you put the option in the URL manually, the search will obey it. Just add to the end e.g., …&field-price=0-1000 to search for items from $0.00 to $10.00. Or if you want to exclude books under a dollar, maybe you want …&field-price=100-600.
The cutoffs don't always seem to be exact. For instance, that last search currently turns up a $8.99 title on the first page. But it's still better than nothing.