Remember that the weight numbers I and some others have used are the gross weight. So, 7000 lbs is the max weight of the trailer plus cargo. With 2 3500 lb axels you can't go to 10,000.
For a 6x12, adding an axel will add about 3000 lbs of capacity since the trailer weight itself is about the same. So, a single axel will only let you load 2000 lbs or less.
My trailer has been weighed in at 6800 lbs with a modest sound and light rig in it.
If I were doing it over I would have gone with 16' which would have given me more flexibility in loading and weight balance to keep the tongue weight right.
I tow it with a half ton pickup with a 13,000 lb GCVW. The weighing confirmed I was legal and safe.
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