I’ve found a few channels of Serbian parishes in USA and usually there was typical Serbian Chant. The same with very few recordings from USA – all of them were done in Serbian style. Sometimes in Serbia for some parts of Liturgy or other services Russian (synodal) melodies are used. Some Serbian choir also sing some hymns composed by Russian composers.
I agree that Serbian chant for new-coming into church can be a little exotic and all tones can sounds so similar. However, I have to admit, that in Serbian Church are used two variants of byzantine chanting. One is very similar to Bulgarian (only a bit different pronunciation) and the second one is, as I would say, “Serbized”. This second stills being byzantine, but with specific Serbian marks. It has origin in the sacral compositions of Mokranjac. Certainly, there were some others composers and theirs setting are used too.