Any water based pesticide will work, like pyrethrines, malathion, and so forth. Neem oil based products work too. You could also submerge the entire plant under soft water for a day or so, take it out for a day, then resubmerge it again for another day to drown out the little pests. I also like to take a paintbrush, dip it in the sundews dew, then glue the little insects to it and feed them to the plant manually. Serves em right for trying to bite an insectivorous plant.

Good luck getting rid of those critters.

If it is just one plant, I would place the pot in a larger, plastic container and over fill the plant with distilled water for a couple days. That will be enough to drown the aphids and not hurt the plant. The plant itself will look like "death warmed over" for a week, but it will recover. Try that before chemicals.

Thanks, I'll try drowning the stupid things tonight.

Are you sure they're aphids? The ones I've encountered have been yellow or green. Mealeybugs on the other hand, are white, sort of oblong shape, and furry. Mealeys tend to be more of a problem for me, but either way, the care is the same. I vote for Neem as it is systemic and an anti-feedant. It makes it undesireable for said bug to eat it, furthermore, it destroys their mouth parts, so if it does take a bite, the bug will be unable to eat for long. Since it is systemic and absorbs into the plant, it lasts for longer then regular pesticides. Just make sure you follow the directions carefully, or its a recipe for disaster.
Good Luck, Bob

Okay, it's soaking right now. Poor sad-looking plant. :(

I couldn't find a container tall enough to submerge the sundew's flower stalk. The flowers have already died; is it okay to cut it off? I'm worried the bugs will hide up there.

I mostly just assumed they were aphids... I guess they could be sort of light green-ish. It's hard to tell since they're so small. Guess they'll drown either way, right?

You can cut off the flowers or any dead material. Can you post a picture of the pests?

Well, I just took my sundew out of its bath and so far so good. It doesn't seem any worse off for it, and it looks like the bugs are gone. :D

I couldn't get a good picture of the bugs (my camera is sort of lacking in the zoom department) but I just looked up pictures of aphids on Google and it looks like that's what they were. Sort of light lime green and almost lemon-shaped from the top.