The same color as your trim

I could see black working- but you would have to pull it into your decor- just a touch.

Your doors look to be off-the-shelf, pre-hung ones that have not been trimmed out. They are just mounted in the standard frame they came with. Without a nice wide molding around the doors, painting them won't have the effect you see in your head. I agree black would be nice, but without any trim to frame it, you'll probably be disappointed.

I'm going to put trim on a budget and don't have funds right now

Traditional thinking says paint the door same as trim color. Most times when I build for people I suggest the wall color as it will hide the door and people love it.