I'm working on a rocket project at my University, and am trying to find a point to point / point to multipoint radio capable of a hopefully 1-5 Mbps data rate between a ground station a directional antenna (~30 dbi), and an omnidirectional antenna on the rocket. The main design constraints are the path loss (~109.7 dB @ 2.4 GHz, ~95 dB @ 400 MHz), power budget (not more than a few watts), size (must fit in a 5.5" diameter rocket body).
I've already looked at a few possibilities such as Ubiquiti routers (such as this) and some LoRa devices (like this). However, the Ubiquiti devices use a little too much power, are fairly large, and don't work with custom antennae (the ones they produce aren't spherically omnidirectional). On the other hand, all of the LoRa radio's I've been able to find are too low bandwidth to be usable.
The rocket we're building is to be launched at the IREC competition in June. The high data rate is to hopefully transmit live telemetry (low data rate) and live video (high data rate) back to the ground station. The idea is to have a couple of sensors and a camera feeding information into a microcontroller like a Raspberry Pi which will talk through the radio link to the ground station. The antenna needs to be omnidirectional because the orientation of the antenna can't really be controlled. One issue might be doppler shift, as the rocket will reach radial velocities of up to a few hundred m/s, but I'm not well versed enough in radio communications to know whether that will make the signals unreadable.
My question is: are there any products that would fit this use case, or is it possible to build such a system ourselves? I am HAM licensed, and am not opposed to Amateur TV except that almost nobody produces modules for that anymore.