If you want ina budget range, the best option would be the Coolpad note 3 Lite, I am presently using it and the speed of net is pretty good. I am using the Airtel 4G and I am pretty happy with its 4G speed. The price of this phone is also reasonable, I bought it on flash sale for just Rs. 6,999, but presently it is available in open sale on amazon.
Yes, it is JIO 4G for which everyone has lot of craze at present. In this budget,one can easily go for LYF phones under Rs 5000 say Lyf Wind 5 would be great. But I would prefer you to go for Karbonn Aura Power 4G as I am using it. I am really happy with Karbonn because I am using JIO SIM in it and that too for long hours due to outstanding battery backup. LYF flames are good but the battery is moderate compared to my Karbonn