Go ahead and ask. I would ask you to consider that the guy might not want to dance with you all night.
One dance per guy, per evening, is plenty.
Some women ask five or more times during the evening. This is unfair to the men. The men paid to get into the hall, and they may not want to spend the whole evening teaching you to dance. (Or worse, fighting you for the lead.)
If you try to follow, most good male dancers will like to dance with you. If you insist on doing it your way, most good leaders won't enjoy dancing with you.
A better plan is to smile when ever a guy looks your way. Another thing to do is stand near a place where there is traffic.
Last night a women stood on the edge of the floor and swayed with the music.
I ended up asking her to dance three times.
You should remember that if you ask, the man has a right to say no. If you can not take rejection, don't ask.