I prefer offset disc harrows, even small 3 point type. I also like scrapers on ay disk.
If you have to add weight to a tandem disc to get it to bite, you're using the wrong implement for the soil conditions.
They float because the soil is too hard or dry, tandems are not initial ground engaging / breaking implements.
If you don't mind running over the same ground a few times you won't hurt a tandem.
An offset pulling a heavy chain harrow behind it will make quick work of it. Usually a single pass depending on how aggressive you set the angle and if the chain harrow is used upside down or spikes forward or rearward.
If traction is a problem add iron wheel weights or load tires with ballast, water/antifreeze,rv antifreeze, windshield washer fluid, beet juice/rimguard.
If your tractor can't pull a disc buried to the bottom of the axles at the correct speed, you don't have enough weight or tractor.