As others have said, use what you have but keep the chain sharp. Noodling produces really long chips so a semi-chisel helps keep things from getting clogged up as fast. Unfortunately, it's also going to cut just a little slower.
Its best if your bar is at least 2 inches longer than your firewood. Keeping the nose out of the cut helps the saw cut faster.
For some saws they make a clutch cover that's flared out at the bottom. The idea is to help with the discharge of chips. For most cutting, it's pointless. For noodling, I've found it to be very useful.
At the end of the day, a 271 is small for noodling. It WILL get the job done, but it will be slow. Better than beating your brains out with an 8lb maul though. I bought my 064 (used/rebuilt) specifically for noodling. I was cutting on a farm that had been select logged. Tree tops were down in the ravines where there wasn't much room to work. The 064 with a 28" bar and 404 chain made a great combination for that job. If I were doing it today, I'd get a G660 with the same setup. Also keep in mind that on the used market you can generally find a 27 ton splitter for around $500. Or at least you can around here during the off season.