I tell people all the time that bankroll management just doesn't apply to the same degree when the roll you're managing is tiny. The reason is that it's very easy to replace, whether by winning some more freeroll money or by simply bankrolling yourself.

So with $2, play whatever you want. The same with $3-$4. If you play the entire amount on one table or in one tournament, and happen to lose it all, it's only a small setback.

That aside, if you lose your small roll more than a couple of times or get stuck on some low amount, what you should be focusing on is your game, not figuring out what and where to play.