Tony,
If I understand your question correctly the priority here would be in selecting an aperture that gives you
acceptable DoF for the flower and the background is then determined for you.
The resulting background blur will be due to a combination of the aperture you had to use, the distance from subject to background, lens specific characteristic and to a degree the focal length used.
The DoF table in the below link will give you the DoFs at subject distances, focal lengths and apertmures for any camera sensor size.
http://www.tawbaware.com/maxlyons/calc.htm