Good idea, Nonya!
When I want to make a prey sound and don't know what the critter sounds like, I wing it and make a sound I'd expect it to make when in distress. It has worked well for me.
Last Fall I wanted to call a wolf in an area with a lot of caribou. I have no more idea than you do right now what a caribou in distress sounds like. I blew what I'd call a deep fawn bleat, some raspy mixed at times with a plaintive smooth mew. I still don't know if that sounds anything like a caribou calf in distress, but a wolf came in to the sound. The next day, a pair of coyotes came in to the same sound, one of them within 15 feet (there was no wolf nearby or they would have been more cautious). I used an open reed call, one made by Rainshadow who sells calls on this site under custom calls.
If you can duplicate a calf elk sound, go for it. If not, fake it and go for it anyway. My bet is that bears will come either way.