Word meaning "without knowing the destination?"

Solution 1:

The standard idiom for making decisions without important information is blindly, and it is frequently used in phrases such as "I am just following the crowd blindly" or "they just blindly followed orders."

Some caution might be in order, however. While this idiom is quite common, it could arguably be considered offensive to those who are actually physically blind.

(Compare also military jargon for transmitting a message "in the blind," meaning in the expectation that you can be heard, but without the ability to receive a message in return, as memorably used in the movie Gravity.)

Solution 2:

Do you mean to say you aren't selective in who you follow? If so:

Of late, I've been following people indiscriminately.

Solution 3:

• "I've been following people who ramble around town." or "I've been rambling around town, following people I never met."

"ramble" (vb) - "to walk or go from one place to another place without a specific goal, purpose, or direction." - Merriam-Webster, "to stroll about freely, with no particular direction TFD

• "I've seen a few surprising scenes in my rambles in the country."
• "We rambled around town for six hours."

Solution 4:

If you are doing this to enjoy the unplanned journey, you might try serendipitously. Oxford Dictionaries Online defines serendipitous as

Occurring or discovered by chance in a happy or beneficial way: a serendipitous encounter

Supplement

Also consider by happenstance

A chance circumstance: "I drove loops around the nearby parish school ... hoping to bump into her casually and claim it was mere happenstance" (Hart Seely).

American Heritage

It sounds like you are talking about real happenstance.