The Linn Basik is a medium mass arm, and its really lower end of medium in the 12 to 13.5 range of effective mass. The Shure M35SC is low compliance requiring 4 to 5 grams of tracking force. I would think you need an arm with an effective mass of >18 grams. This cartridge is for heavy arms, changers, DJ scratching type stuff. I think you have a bad match ... unless to have about 4 or 5 grams of mass to add to the headshell, and a big enough counterweight to support it. You don't want the counter weight all the way back on the arm, you want it close to the pivot.
As for antiskate. For 4 grams of VTF I would definitely use some antiskate, start with antiskate of 2 and listen. Listen with headphones and play some tracks at the end of the record. See what you like best between 2,3 and 4, and then fine tune.
The good news in your situation is that you can get the Shure N35X stylus. This is higher compliant and will match you arm way better. Still a spherical stylus but tracks up to 3 grams. Some people that run this cartridge use aftermarket EVG elliptical too.
I ordered a M35X to try on my medium mass arms just to see what all the buzz is about with these cartridges. In the end I expect they will sound good for certain older recordings but overall unrefined compared to what is out there today.
Good luck and let us know what you are hearing.
Bob