Why just Cobras Doc? Assume it’s because you have had them and liked them on HDs.
I have Michelin Commanders on the Chief and had no issues with them. For the RoadMaster I fitted new tyres earlier this year but as you will no doubt find, you will be restricted to whoever can actually supply you with a set.
I had three sets I was looking at, Cobra’s, Commanders and Cruisetechs. The only ones my tyre guy could actually find available and in stock where the Cruisetechs which are the OEM fitment. I ruled out Dunlops as they are awful, like riding on concrete hoops, constantly letting go under power on bends and roundabouts especially in damp and wet conditions.
You will also find on the interweb a lot of places listing tyres for the bike but in the majority of cases they don’t actually have them and they will order them in but have very long lead times.
So you may find it’s a case of having to buy what’s available, but to be honest I find the OEM Cruisetechs to be a good tyre.