I have had this design for a while.
This sub would fit the bill for you. It uses a newer novel driver designed by Saul Linkwitz in association with SEAS. It is optimal for ported use in a much smaller than usual box volume, of 2.3 cu.ft. It is a low Q driver and will give you precis natural bass that I think you are after. It is not the deepest sub in the world, f3 is 27 Hz. However any sub with an f3 below 30 Hz will get the job done very well. This is a high (28mm) excursion driver with very good sensitivity (88db) for a 10" driver.
This is the driver the
SEAS L26 ROY
A PDF of the design is attached. The sub would require an amp of 200 to 250 watts and produce good spl.
For a project like yours a vented enclosure is a much better bet. It is simpler and saves the problem and expense of equalization and will work well with amplifiers of lower power. This sub will actually give you a tighter bass than most sealed designs.
I think from the specifications you have given this sub will be a very good performer for you.