Actually cupped 'paddle' type tires that are sometimes used in rice fields will provide the best traction in soft sand. If there were any better tires for sand, they would use them on these machines.
CANIDAE Sand Drag - YouTube
I was about to suggest rice paddie tires, they were "standard" at one time on some Asian and Chinese imports - they may still be an available option.
I am fairly sure that I have seen tires similar to what are on that Youtube video on a JD small Cat 1 tractor recently.
I will be at that farm tomorrow and will try to remember to check it out.
Less "aggressive", but a similar pattern.
Yes to the other comments that pressure is pressure (-:
GENERALLY standard R1s offered will be narrower and have a higher ground pressure than the optional R4s or R3 turfs - - from many/most tractor manufacturers.
DRY sand probably won't clog turfs, wet "clay sand" probably will, wet "sandy loam" can, but how wet will you work the ground ?
Sandy loam drains SO quickly around here anyway that I barely have time to start the tractor up and attach an implement before it is "dry" (-:
I've mentioned it before, there are exceptions to this - for manufacturers standard size optional tire/wheel combinations the R4s will not only be wider with a lower ground pressure than R1s, they will also have a larger fluid capacity.
So IF you need ballast and decide you need it in the tires the R4s will GENERALLY get you more of it.
Again, rutting is usually more a function of taking sharp turns on wet soil than the actual tread pattern - also of driving with the tractor wheels in EXACTLY the same "slot" all the time. Just nudge over a couple of feet on return runs, if you see ruts developing drive ON the RIDGES (-: