Another option to use when working with small apertures is one or more flashes - I've used that a lot lately and it works quite well. Helps if you can use off-camera flash of course to adjust the lighting somewhat. If you're sneaky, you can light your subject and leave the background relatively so dark that it disappears.
Of course, people will look at you funny if you cart that much photo gear around in public, and spend that much time fussing over flower photos. Of course, if you use something like a
butterfly bracket or macro/ring flash, there's a lot less faffing around.
