Combinatorial Queries - Changing Parameters Actual Values

I have a question about query execution strategy ...

Scenario: let's suppose I've to query a table with a query like

SELECT F1, F2, F3 FROM MYTABLE WHERE F1 = ? AND F2 = ? AND F3 = ?.

I need to execute this query changing parameters' actual values in a combinatorial way, until a combination gives back at least one row or all combinations are unsuccessfully tried. For instance, I may have this sequence of values:

(V1,V2,V3);
(V1,V2,"");
(V1,"",V3);
(V1,"","");

where V1, V2, V3 may by string values and V1 is always present, not null, and not blank in each combination.

A first strategy may be to prepare the statement, clear the parameters each time I execute the query, until stop condition is met.

I wonder if may be more efficient transform the query into

SELECT F1, F2, F3 FROM MYTABLE WHERE F1 = V1

and cycling over the cursor and, for each cursor row, verify if the returned tuple (F1,F2,F3) matches the combination (V1x,V2x,V3x). When at least 1 rows matches, or all combination are done, I'll exit iteration.