<human>: Hi everyone! Sorry for the wall of text.

I know my question is a bit broad, but my boyfriend and I are looking for a place or two to visit in between Bucharest and Budapest. We'll will be attending a festival near Bucharest until July 28th, and then will have about four nights to make it alllllll the way over to Budapest by the 1st of August. We're traveling on foot with very large backpacks, and we're on a very tight budget.

There are so many things that we'd would love to see in Romania (especially places like the Scarisoara caves), but we fear that most of those places are too out of the way for us because we don't have a car and ample time. We're trying to figure out at least one cool place to visit along the way though, so we need your help!

We were thinking of possibly trying to see the Babele & Sphinx, but we're unsure of transportation availability. Would it be possible to get a bus/train from Bucharest to Brasov (2 nights), then from Brasov to Timisoara (2 nights)? Can someone send us a link to a website where we could search this information for ourselves?

If that doesn't work, which it may be too ambitious for the time being, we're open to any suggestions regarding nice towns/unique places to visit that are on the general path to Budapest.

Oh, and we would absolutely LOVE LOVE LOVE to visit an old castle in Transylvania, so if anyone can recommend one that we might be able to get to easily with public transport, please tell us!

Thanks in advance :)

Can you summarize the given text in a few sentences?
<bot>: Need help figuring a cool place to stop in between Bucharest and Budapest. We have four nights to spare and have to rely on public transportation. We like camping, castles, caves, and stuff that's free because we're broke!