I am presuming it is a relatively clean sand with less than 15 % passing the #200 sieve. By rights, the relative density is the way to go (ASTM has two specs on this - one for maximum density (D4253 using vibrating table) and one for minimum density (D4254); British Stds (BS 1377 Pt 4 Section 4 using a vibrating hammer) also has specs for relative density.) As has been pointed out in a number of geotechnical threads, many (perhaps most) laboratories do not have the equipment to carry out the relative density test. As a result, the Proctor tests are still used. When doing this, the sand will be relatively flat across the water contents and when above the optimum, you will probably see water seeping out the base of the Proctor mold.
One test that can be done is the Ontario Ministry of Transportation test where the volume of the field relative compaction is determined as: (1) density hole is determined by water balloon or sand cone method, (b) the soil removed is then adjusted in moisture content to "optimum" (need an experienced soil tech or engineer) and then, (c) the soil is compacted into the Proctor mold where based on the field hole volume there is a dipstick that permits the number of blows to be adjusted to give the Proctor energy. (d) The volume in the mould is then determined via a scale on the dipstick and (e) a comparison is made of the field hole volume and the Proctor volume to give the "% relative compaction". I used this method back in the 1970s - it works well but was time consuming.
Given that you will be likely doing a Proctor I would suggest that, to get a better handled on the actual relative compaction, the previous layer be tested. Due to the sand confinement issues, it is better not to test the layer you are placing but the previous layer - then, follow the progression in similar fashion until the surface. If the surface remains as "sand", the relative compaction will have little meaning after a few days in the hot sun . . .
At least, this is my take on the issue posed.