Hello,

Perhaps this will interest you:

Saklofske, D. H., Austin, E. J., & Minski, P. S. (2003). Factor structure and validity of a trait emotional intelligence measure. Personality and Individual Differences, 34(4), 707-721.

Austin, E. J., Saklofske, D. H., Huang, S. H., & McKenney, D. (2004). Measurement of trait emotional intelligence: Testing and cross-validating a modified version of Schutte et al.'s (1998) measure. Personality and individual differences, 36(3), 555-562.

Petrides, K. V., & Furnham, A. (2001). Trait emotional intelligence: Psychometric investigation with reference to established trait taxonomies. European journal of personality, 15(6), 425-448.

This reference may be of interest to you, as well:

Pérez, J. C., Petrides, K. V., & Furnham, A. (2005). Measuring trait emotional intelligence. Emotional intelligence: An international handbook, 181-201.

Most of the measures are written without reference to a particular occupation and therefore should be applicable across various domains.  E.g.,

Platsidou, M. (2010). Trait emotional intelligence of Greek special education teachers in relation to burnout and job satisfaction. School Psychology International, 31(1), 60-76.

Dr.P.Nair had developed a scale to measure EI. Please follow this link to find her research and annexure http://shodhganga.inflibnet.ac.in/handle/10603/59955

http://shodhganga.inflibnet.ac.in/handle/10603/59955

If you need, I can provide you with her contact details 

Thank you very much, Prof. Nicol. Your suggestions have been immensely helpful. Thanks.

Thank you, Gitanjali Roy, for the link. I'm grateful.

Here's a more contemporary one if you're still interested

Andrei, Federica, et al. "The Trait Emotional Intelligence Questionnaire: Internal Structure, Convergent, Criterion, and Incremental Validity in an Italian Sample." Measurement and Evaluation in Counseling and Development 49.1 (2016): 34-45.

http://journals.sagepub.com/doi/abs/10.1177/0748175615596786