If you have a ccw:
Then Loaded IWB, OWB, in the bag in a holster, just about anyway you want it so long as its safe. It can be loaded and readily accessible.
If you do not have a CCW:
OWB, open carry style. May get you some unwanted attention though.
Other option is you MUST transport it separate from the ammo, in a locked box. So if you have saddle bags, gun in right bag in a lockbox, ammo in left bag. The gun must not be readily accessible.
I rode my motorcycle in Lincoln while attending UNL. I can say that they attract a lot attention, and lots of challenges. A gun will certainly draw negative attention if open carried.
Get a CCW and tuck it away, problem solved. If you have a CCW, basically you can transport a handgun any way you wish. That is the safest way not to get prosecuted IMO.