Wow ! I really wish I could come with you on this one.
There are direct trains but no direct flights for this journey. Bengaluru (Karnataka) to Ajmer (Rajasthan) distance is 2006 km and you can get there by flight + train in just over 7 hours and 55 minutes or by train fares starting from ₹ 633.
The weather at Ajmer is varying from "nice" to "hotter than nice".