You have yet to tell us your use case, which directly impacts what we recommend as far as suspension goes and at a higher level what could be causing your issue of a "harsher" and "jittery" ride.
Logic tells me:
Ride quality was fine --> You added tires that are 20 lb heavier --> Ride quality suddenly "harsh" and "jittery" --> Problem is the tires
Changing the suspension when the symptoms you're experiencing are due to heavier tires is a band-aid if your use case doesn't necessitate an altered suspension setup, which from you telling us you want to retain stock ride height leads me to believe the upgraded tires aren't for significant off-road use, or at least not use that necessitates increased ride height. Instead of chasing possibly expensive suspension replacement, why not try a lighter tire that doesn't add 20 lbs per corner?
If you don't need better suspension for any reason use case situation like off-roading, you're spending money you don't need to spend by replacing the suspension and not just going to a lighter tire. It's your money and I won't tell you how to spend it, but that's just how I (and it seems everyone else responding to this thread) sees the situation.