A picture would help a lot.

Squash bugs are big, so you can rule them out.

That's the problem, they're too small to even come close to showing up in a picture. They're light brown color, and they are literally like slowly-moving specks.

Agree that they definitely aren't squash bugs or even squash bug nymphs. Those are easy to rule out from your description/information.

But without seeing them it is just one of a hundred or more possibilities. Look up pics of aphids and thrips for example for comparison.

As the squash grows, the ones with these bugs in the blooms eventually start turning brown at the tips and then the bloom or growing squash will just fall off.

That could be just coincidence due to lack of pollination and age of the bloom but no way to know for sure. Are these male or female blooms the bugs are in or both? Reason I ask is some pests will only go after the pollen in the male blooms.

Dave

Here is a link that might be useful: Common Squash and Cuke Pests

I'm pretty sure I know what you're talking about....they come out of the center of the flower when I disturb it (to pollinate). They are on every single vegetable plant I have and I also saw them last weekend on blackberries I was picking at a local farm. I'm assuming they're completely normal and the fact that you're flowers are browning afterwards is a coincidence.

This Clemson pub suggests they might be melon aphids. Do you live in cotton country?

Here is a link that might be useful: Clemson cucurbit pests

To the OP - Did you look up thrips as I suggested above? Look at the picture of them in a cuke bloom that I linked below - scroll down to the big pic in the middle of the page.

Dave

Here is a link that might be useful: Thrips in cuke blooms