The statute would appear to allow the OP to take a described firearm unloaded in a locked container on his motorcycle.
Once crossing state lines it would require him to never deviate from his path and go straight to his home.
The statute references rifles and shotguns, and from what I gather handgun legality is based on inference from exemptions?
The statute says requires a specified container OR the trunk (presumably a gun in an actual trunk with not need to be in a container as a result.)
Suitable containers appear to be "fastened case, gunbox, securely tied package"
A securely tied package would be essentially a cardboard box taped up, and just to be more complete tie some ribbon around it so it cannot be opened without removal of the ribbon.
So it would appear the method of bringing the gun is there.
The county Sheriff here is a freind of mine, and he very strongly suggested to me to get a concealed permit for carrying on my motorcycle.
While this pertains to a comment from someone in another state than the OP and with completely different laws:
A motorcycle is a legal automobile. It must be registered, and gets a license plate.
I wouldn't carry on my person on a motorcycle even when it is legal in an automobile (but not carried concealed outside of the vehicle) for the simple fact that you have to get off the motorcycle and then would not be "in" the vehicle and yet would still have a concealed handgun. There is some states where there is that situation.
Removing the gun from your person before getting off is impractical and will draw attention.
However if something is legal in an automobile then having it on a motorcycle is going to be no different.
If your law requires it in a locked container or inaccessible then stick it in a locking container on the bike.
If the law just requires it off person, you can stick it in a bag. If the law requires it unloaded or allows it to be loaded, that is the same in a car or on a bike.
Lots of people transport firearms in SUVs, pickup trucks, and other motor vehicles without a trunk such as motorcycles.
If they follow the same guidelines they should be fine.
If a minority group of automobile drivers are allowing themselves to be arbitrarily targeted and subjected to different interpretations of the same law then they need to stand up for themselves and have some representation remedy the situation. This is typically done through lawsuits filed by a representative group if it cannot be done through appealing to an elected official.