Most fee-based genealogy sites have free weeks or weekends around different holidays throughout the year.

Memorial Day many sites give free access to their military related records.

It depends on the site which holidays, if any, and which records they grant free access to.

Some sites may require a sign up for their limited free offerings, such as Ancestry.com. This is the one I am most familiar with, but I have received emails from several other services.

I am not paying for access to genealogy data until I can have both the time and the money to make it worthwhile.

If you are not busy with activities with family and friends and have the weekend off, you may find some things that will help you expand your search.