In my experience, there aren’t people out checking on ebike classes and the way you ride has a lot more to do with being stopped than what you are riding. I have never been stopped on an ebike anywhere for any reason. The bigger risk is riding a faster and even more powerful electric bike that would be categorized as a moped without a license and that if you got into an accident, you could be liable for more and charged with driving an unregistered vehicle or something. It’s great that you’re being careful and thinking about how to fit into the community, that alone goes a long way 

Oklahoma defines an Electric-Assisted Bicycle in 47 O.S. 1-104 [122] as "Two or three wheels; and Fully operative pedals for human propulsion and equipped with an electric motor with a power output not to exceed one thousand (1,000) watts, incapable of propelling the device at a speed of more than thirty (30) miles per hour on level ground, and incapable of further increasing the speed of the device when human power alone is used to propel the device at a speed of thirty (30) miles per hour or more. An electric-assisted bicycle shall meet the requirements of the Federal Motor Vehicle Safety Standards as set forth in federal regulations and shall operate in such a manner that the electric motor disengages or ceases to function when the brakes are applied."

Available products (motors, senors, batteries, control systems. etc.) change fast since the e-bike market shows a strong growth. In principle, get a rear motor if you want a lot of raw power and acceleration (e.g. for a 500W motor). Middle motors are more energy efficient and less subject to problems (e.g. overheating). Middle motors usually are combined with integrated rear hub gears, and rear motors with derailleurs. Both have advantages and disadvantages. E.g. the former require less maintenance, are easy to use in go-and-stop traffic, but require taking off weight on pedals when shifting. Therefore the latter (derailleurs) are better for speedy overland and hills cycling.
I have been able to find ebikes of all speeds out in the wild and after years of riding and a reflective posture for the law, I see that lawmakers were thinking less about me and my practical wants as the user, and more about the mass motor vehicle driving public, their perceptions and expectations of ‘typical bicycle speeds’ on the roads and paths. So the laws were made to bicycle NORMS, not the potential performance limits for users.
The federal Consumer Product Safety Act defines a "low speed electric bicycle" as a two or three wheeled vehicle with fully operable pedals, a top speed when powered solely by the motor under 20 mph (32 km/h) and an electric motor that produces less than 750 W (1.01 hp). The Act authorizes the Consumer Product Safety Commission to protect people who ride low-speed electric vehicles by issuing necessary safety regulations.[63] The rules for e-bikes on public roads, sidewalks, and pathways are under state jurisdiction, and vary.