I started on my ICE trike by running the same tyre on all 3 wheels.
But after 3 years of wearing the back tyre out half way around a 4-5k mile tour and having to find a new good 20" tyre, I looked for a longer lasting one.
After a few false tries, I found the BA's works well to even the wear rate front to back.
You can fit light tyres all around for pure speed or heavy tyres all around for maximum puncture protection.
But the difference with the ease of fixing punctures between the front wheels and the back makes light front/heavy back a sensible option.
On an ICE trike there's a spacer between the front of the mudguard and the frame that needs to be removed to fit the 50-406 BA tyre.
Apart from that the 50-406 BA's will fit under all 3 mudguards if they are moved up.
Luck .........