Hitting the big stores, I hope you have fun. Worry less about getting brands that are SF approved, but rather worry more on getting shoes that you really like. Its your money dude

BTW, a recent thread on SF put paid to the belief here that
all Gucci is sub standard. Like many fashion brands, Gucci have various levels of quality. At the upper end, quality as good as anything out there, at lower end, quality absolute junk. Most here know that though, but there is a sub-culture which equates all fashion branded stuff = junk. This is often true, just not
always true.
I approve of the shoes in your link - they are fairly nice. I would give them a 7/10.