I've had some good times when unaccompanied (unencumbered?) walking around Montparnasse and St-Germain areas. The crowds in Latin Quarter were a bit of a turn-off after the novelty wore off, but maybe that's just me.
I too speak little French, but I keep trying and find that this is appreciated, especially when some humility is shown when asking (in FR) if someone speaks English.
I suggest getting familiar with Metro/RER, and soon you'll be zipping around Paris with confidence.
hope this helps. I jump at any opportunity to go to Paris!
bonne chance et bonne voyage,
-benzguy80