I use the shielding paint. It is easier to do and the shield is easier to get complete (by running the brush down the connecting passages) but it is permanent. It can darken the tone of your guitar. The way to avoid that happening too much is to ground the shield completely to the jack. In some places contact will work fine, but I like to run a lead from somewhere in the shield (with paint I screw the wire in and then paint over the screw) to the back of one of your pots.
Also remember to get a multimeter with a good continuity tester to check the continuity of the shielding.
Stockholms definitely require shielding and tend to feed back quite a lot, especially with a gainier amp. I can't get within a metre of my amp, even with shielding, and that's with the NS-2 and Decimator G-String both on.