You should be able to borrow a copy through Inter Library Loan.

See the 23 locations where copies are available,

https://www.worldcat.org/title/ranks-of-honor-a-regimental-history-of-the-11th-arkansas-infantry-regiment-and-poes-cavalry-battalion-csa-1861-1865/oclc/22527065&referer=brief_results