I think a SOA YJ will compete with a TJ. May not be as smooth as a RE long arm, but very competent. 33's look a bit donutish, but fit very well. 35's are a good mid point looks right and stuffs good. If you want 37's I'd go with 2 inch springs to get the same performance as the 35's.
I saw some fiction above, but he makes a good point a good driver can take just about any rig anywhere within it's capabilities. Other drivers will throw money at the situation until the rig makes up for fewer skills. Picking a good line will make everything look easy.
Now this is a true story of driver skills. before my YJ was SOA, I went to a Texas Park with a buddy. He had a 4.5 inch RE double flex, locked front and rear, winch, 6cyl, 35" MT's, 747 lights and wiring. I was driving my YJ with a 180,000 miles 4 banger, long add-a-leaves, open all the way around with 33" at's. I followed him everywhere he wanted to go. I was winched once, weighted in the corners a couple of times. we stayed pretty much on trails rated 3-4. Afterwards, he gave up props to the YJ. I had less than $5k in the YJ including purchase price. He had added at least that in upgrades to his TJ. We took nearly the same lines and I made it.
Now I feel that because I drove a unlifted, underlifted, underpowered jeep for so long, It made me a better driver. Because I tried and pushed the jeep to it limits, Mine expanded. Now I'm considered one of the best spotters in my group, because I see better lines. I can get the stock vehicles through locations that they don't think is possible.
Please consider the options, and don't discount the effectiveness of YJ's leaf sprung suspension. If you continue having trouble try locking the front before anything else.