Benzos are anxiolytic (anxiety reducing) and sedating. They can be used as sleeping pills, but sleeping pills are not necessarily benzos. Over the counter (OTC) sleeping pills are usually antihistamines and much less effective. There are also other non-benzo prescription sleep aids like Z-drugs (zolpidem/Ambien, zopiclone) and some tricyclic antidepressants (TCAs).
It would be easier to give advice if you mentioned exactly what sleeping tablets you have access to.