The only helpful rule I know of is the hydrogen deficiency for hydrocarbons. If you have the formula CnH2n+2, you have a fully saturated alkane - no double bonds or rings. For every loss of two hydrogens, you will have either a ring or a pi bond.
So if you have the formula CnH2n-2, you will know that your structures need to have either two rings, a ring and a double bond, two double bonds, or a triple bond. Then you just work your way through all the possibilities, making sure to include cis/trans double bonds and cis/trans substituents on the rings.