You mentioned not wanting to spend much money on a one time use tool, but what about spending a little bit more money ($40-50) and ending up with a high quality tool you can use regularly for the rest of your life like a Knipex pliers wrench?
A 10" pliers wrench has jaws that are only about 5/16" wide and it will pinch down hard on the nut while you are turning. It will be a lot less likely to round out or damage the corners of the fitting like can happen with an open end or crowfoot, especially since I assume your fitting is anodized aluminum. Just put a couple thin sheets of paper between the wrench jaws and the barrel nut and you can torque safely and securely without even leaving a scratch.
http://www.amazon.com/dp/B000X4OG94/?tag=atomicindus08-20
If you end up needing to grind something down, one thing to remember is that in many situations it is possible to just bevel the edge instead of grinding down the entire side of the wrench. The wrench also remains stronger with just beveled edges. The picture is a quick example of a 6" adjustable I modified in order to fit a couple of my narrow die grinder chucks.
A Ridgid e-110 hex wrench would also work for your purposes. It has smooth 3/8" thick jaws and it can handle quite a bit of torque without issue. You will find other uses for it once you have one, as it is a pretty handy tool for home plumbing and for taking apart things like air tools for servicing. It is around $35 new, but the nice thing is you can walk into any Home Depot and buy one off the shelf.
http://www.homedepot.com/p/RIDGID-E-110-Hex-Wrench-31305/100151329
Super cheap and dirty option would be to just buy a 12" adjustable from Harbor Freight for $7 and grind it down to fit. The dollar cheaper 10" would work also, because it has a max opening of 1-1/4".
http://www.harborfreight.com/12-inch-steel-adjustable-wrench-65802.html
A Sunex 1-1/16" crowfoot is just over 7/16" thick, so you would definitely have to grind a larger 1-3/16" crowfoot down a bit for it to work. A 3/8" drive Williams 1-3/16" crowfoot would work though. It is only 3/8" thick.
http://www.toolsource.com/drive-crowfoot-wrench-open-p-146421.html?osCsid=q5cuebt5tuitlgbc228l5pln16