http://law.lis.virginia.gov/vacode/title18.2/chapter7/section18.2-308.02/
§ 18.2-308.02. Application for a concealed handgun permit; Virginia resident or domiciliary.
A. Any person 21 years of age or older may apply in writing to the clerk of the circuit court of the county or city in which he resides, or if he is a member of the United States armed forces, the county or city in which he is domiciled, for a five-year permit to carry a concealed handgun.
You are not a resident of you HOR.
You do not have orders to your HOR.
Apply as a non-resident.
http://law.lis.virginia.gov/vacode/title18.2/chapter7/section18.2-308.06/
§ 18.2-308.06. Nonresident concealed handgun permits.
A. Nonresidents of the Commonwealth 21 years of age or older may apply in writing to the Virginia Department of State Police for a five-year permit to carry a concealed handgun. Every applicant for a nonresident concealed handgun permit shall submit two photographs of a type and kind specified by the Department of State Police for inclusion on the permit and shall submit fingerprints on a card provided by the Department of State Police for the purpose of obtaining the applicant's state or national criminal history record. As a condition for issuance of a concealed handgun permit, the applicant shall submit to fingerprinting by his local or state law-enforcement agency and provide personal descriptive information to be forwarded with the fingerprints through the Central Criminal Records Exchange to the U.S. Federal Bureau of Investigation for the purpose of obtaining criminal history record information regarding the applicant and obtaining fingerprint identification information from federal records pursuant to criminal investigations by state and local law-enforcement agencies. The application shall be made under oath before a notary or other person qualified to take oaths on a form provided by the Department of State Police, requiring only that information necessary to determine eligibility for the permit. If the permittee is later found by the Department of State Police to be disqualified, the permit shall be revoked and the person shall return the permit after being so notified by the Department of State Police. The permit requirement and restriction provisions of subsection C of § 18.2-308.02 and § 18.2-308.09 shall apply, mutatis mutandis, to the provisions of this subsection.
"The application shall be made under oath" means that fudging is a really bad idea.