Subchapter F of the Code covers exempt organizations. This includes sections 501 through 530. Section 501(c)(3) is a small part of Subchapter F that simply defines a type of exempt organization. You may find all of section 501 helpful. Section 503 discusses requirements for exemption. Here is a link to all of Subchapter F:
Reading Code is not fun at all, so I would also like to provide you a link to IRS Publication 557, "Tax Exempt Status for Your Organization":
Page 16 discusses donated property and I find this entire publication rather useful.
I do believe that Code Section 170, where it defines charitable contributions, allows for the contributions of property. Even though it speaks to the donors side, the exempt organization would still be in receipt of a properly donated property contribution if it meets the definition in Section 170. Please see the link here:
And this section speaks to the sale of donated property (although the above publication 557 is more informative):
I know all of this is pretty confusing, but I've dealt with similar situations in practice. I've never seen a charity have problems for accepting donated property. Just be sure the proper appraisals are done if required and the 8282's are filed if property is sold.