If you are interested in getting a personal tutor to teach you Mongolian or to practice speaking with, please send me a message. This site itself is not for profit, but I can help connect you with an Inner Mongolian who would like a part-time teaching job. I imagine the cost would be about 10 US dollars an hour. If there is enough interest I will set up a PayPal or AliPay account for this. The tutoring could be done over Skype.
On the other hand, if you want a free tutor, consider doing a language exchange. If you don’t have a Mongolian speaker near you, you can find one on sites like ConversationExchange.com or MyLanguageExchange.com.
A new language learning method I have become aware of recently is called the Growing Participator Approach. You might try reading up on it. I’ve been using it with one of my tutors recently and it seems like a much faster and more natural way of learning.
If you want something more formal, consider studying Mongolian at Inner Mongolia University in Hohhot. They have many foreign students studying Chinese and also some studying Mongolian. You should be able to find some contact information at this link.