I would use a tad amount of flash for this particular angle or try at another time of day.
That is a problem scene, Brian. I like the brighter petals but now the background has some overly bright areas. Maybe I would try to brush in a little bit of highlight reduction around the flower tip. In this particular case I suspect you could use something like a Curves adjustment on a mask to selectively tone down those highlights a little without affecting the midtones in that tip.
Brian - the main issue with this image is that the light falls in the wrong place, behind your subject. Any global brightening is going to affect the lower part of the background far more than the flowers and will end up bring distracting. This shot would look a lot stronger if you could have found a way to light from behind the flower to emphasize the beautiful textures in the blossom itself.
I agree with the simple, but to paraphrase Albert Einstein; "Things should be as simple as possible; but not simpler".
Adding a small to medium piece of white cardboard or foam core into your kit when you photograph small things will get you stronger images, without sacrificing simplicity. I'm shooting some things right now and my reflector is a piece I cut out of a mat board that I have left over from some picture framing I just finished a couple of days ago. This is a lot easier and more fool proof than going to flash.