Have you looked at the answers from this question from 2014:"What are alternative ways to estimate alcohol percentage (as GC is not possible to carry out at our facility)?"
If you can measure density accurately enough, redistilling a sample for the ethanol content is a good method with minimal reagents. Requires specific glassware/equipment and/or accurate balance and temperature control.
Depending on the specific characteristics and requirements of the alcohol and syrup formulation there are some methods besides Gas Chromatography for determining alcohol content:
(1) HPLC is particularly suitable for non-volatile compounds and offers high sensitivity, precision, and accuracy in quantifying alcohol levels in such formulations.
(2) Fourier Transform Infrared Spectroscopy (FTIR) is quick and non destructive, and
(3) Spectrophotometry, also non-destructive.
These methods provide alternative approaches for accurately measuring alcohol content in pharmaceutical syrups. The selection depends on their availability for your lab, and the degree of accuracy required, among others.
Bonfilio, R. B. D. A. M., De Araujo, M. B., & Salgado, H. R. N. (2010). Recent applications of analytical techniques for quantitative pharmaceutical analysis: a review. WSEAS Trans. Biol. Biomed, 7(4), 316-338.
Overall, in summary, HPLC is a powerful alternative to GC for determining alcohol content in pharmaceutical syrups, providing specificity, sensitivity and ease of use in pharmaceutical analysis laboratories.