For to horn, I have no idea how to do it for your full frequency range and with maintaining the correct propagation mode.
Regarding non-horn wide band antennas, you may search for ultra wide band antennas. I actually did design flared transmission line wide band antennas, but I don't have a reference available.
The trick with these antennas is that you can avoid steep impedance transitions versus distance along the antenna. The difficulty is not in getting reasonable return loss, but more getting a descent radiation pattern over the full frequency range and (as always) getting reasonable aperture efficiency. Antennas (Kraus, Marhefka) do mention flared transmission lime antennas, but doesn't give you guidance in how to achieve your goals.