Hi Dep,
You can indeed have your mtDNA tested and then compare it with the common Mitochondrial haplotypes found within Jewish populations that have been tested. I think you would probably find the "Family Finder + mdDNAPlus" test to be a good choice in your situation, but the "Comprehensive Genome" test would be the ultimate... however... it is by far the most expensive.
Regards,
Hanok
