Sounds like the cable might be 1mm or so too slack, outer adjustment screw needs to loosened for more clearance on the big ring, probably has too much clearance for the small ring so the screw needs to be tightened. Even 1/4 turn of the adjustment screws can make a big difference sometimes so it's worth learning to do yourself because nobody else will ever be as familiar with it as you. Shimano details a somewhat exacting procedure for FD adjustment on their website in a pdf file for your specific FD model. It's worth following the exact instructions because they're good.

There's also that chain tension screw on the RD which may be a factor to consider.

Not familiar with SRAM rings but I'd be surprised if they function better than Shimano's hyperglide sculpted-teeth which are pretty slick IMO.