According to the SX1261/2 datasheet, the maximum RAW bit rate of this LoRa chip is 62.5 kb/s for 500 KHz bandwidth and spreading factor of 5.
The bit rate is constrained by the spreading factor and the bandwidth. Bandwidth is constrained by law, spreading factor is constrained by design. You can find the details in LoRa™ Modulation Basics, AN1200.22, section 4.
For 250 KHz Lora, you can use the equation to get the theoratical max:
If we set SF = 5, BW = 250,000, bit rate is 39.0625 kb/s for a raw bit stream.
So, I think that the limit of 62.5 kb/s is a safe speed ceiling to consider. I am not sure how you would get 125 kbps using LoRa and current constraints. You could switch the chip to FSK mode and pull at 300 kb/s IF the FSK link is strong enough.