The "best" 22 LR ammunition?! What is your criteria? Cost, accuracy, power on target?
Since your 10/22 is a Target version you can shoot premium ammunition and get very good groups. Your barrel will like one brand and one lot of .22 LR and do fair to piddling with the rest.
When you talk to serious small bore shooters, they are always testing ammunition. When the find a lot that is the most accurate, they will buy about $500.00 of it. The next lot of ammunition by the same company will be different.
Champion's shooter's supply will sell you a ammunition sampler. You buy this crate full of different boxes of .22LR ammo, find the one that works best, and you can buy the identical lot in case sizes. Expect to pay real money though, this is not going to be a $20.00 option.
http://www.championshooters.com/
I purchased a case of Wolff Target after I found out that it was repackaged SK rimfire target. SK is made in Germany in the SK Jagd-und ammunition factory. I shot the stuff in my M52 Winchester and it was pretty accurate stuff.
Standard 10/22's, the chambers are so loose, any cheap brand will do, mine liked Winchester High power and Federal High Power. Got like 1" groups at 25 yards with the rifle. And that is about all it will do.