Funny, isn't it, how so many people never get a grasp of the compromises which come into play on designing and riding ebikes!
(1) To get the best out of any bike - with or without a motor - you've got to be prepared to pedal. The more effort you can put in, the more rewarding the experience will be.
(2) Raising the top assisted speed even a little bit will cause the battery to have a much harder life - out of proportion to any speed advantage you may gain - see part 1!
(3) If you really *need* an invalid scooter, don't buy an ebike. You'll be disappointed. See part 1!
(4) Irrespective of the motor, controller or bike, buy the biggest capacity battery you can get. The increase in range and battery lifetime far outweighs the increase in capacity.
(5) Weight is an even bigger problem for an ebike than it is for you. Go easy on the pies.
These aren't hard and fast rules. They're also just my opinion, and if you think I'm talking rubbish you're welcome. I know there are some on here with quite serious physical disabilities who manage ebikes very well - they have my admiration, and it goes to prove that determination can overcome many obstacles.
Apart from that if power and speed are what you crave buy a moped, and progress to a motorbike. Even a small motorbike will leave an ebike for dead. You shouldn't be looking to cheat the system on a machine which is, or should be, designed for a specific purpose. Much over 15 MPH and you're on your own, or you ought to be.
Rog.