(A) In the event a building permit is denied to any applicant by reason of this article, he or she shall have the right to appeal to the President and Board of Trustees of the village seeking either to overrule the decision of the official who denied the permit or to seek a variance to the provisions of this article. Upon such appeal being made, and after reasonable notice to the applicant, a public hearing shall be held by the President and Board of Trustees where evidence shall be received from both the applicant and any other interested parties. After receiving and carefully considering such evidence, the President and Board of Trustees may:
(1) Order the permit to be issued;
(2) Order the permit to be issued if modifications are made in the design of the building to bring it into conformity with the provisions of this article;
(3) Order the permit to be issued after granting a variance to the provisions of this article; provided that, such variance shall be limited to those deviations from that section as shall not affect the general intent of providing streetscapes without monotonous architectural design; or
(4) Deny the petition of the applicant.
(B) Along with other factors to be considered by the Village Board shall be whether or not the applicant only desires a variance for a single structure where the request for the variance is filed or concurred in by an individual who will actually reside within the single-family home for which the variance is sought.