I use a indoor/outdoor wired probe that I picked up at Lowes for less than $10. I attached a large split shot to the end. Drop it in the water, wait until the temp readout stabilizes, remove from the water. Still working 2 years later. That will read to 10' depth.
Maybe the water resistant part is enough for short duration soakings?
My new Amprobe meter has a type K thermocouple which is quite accurate, but only has about a 2' lead. Need to find a longer one.
Wait a minute, I do have some longer type K, someplace.