It depends which version Vengeance you have . Everything below applies to the one with the torque sensor and Suntour HESC system and to the Crossfire and Vulcan and any other bike (Raleigh) that also has that system. You can do whatever you want with the version that has a normal magnet disc pedal sensor.
A. AFAIK, a Yose motor won't fit because the HESC motor has an unusual arrangement for resisting the torque. If You're considering going that route, take your motor out and have a good look at the dropouts to see how a standard motor would fit. Apart from that, there's no reason to fit a Yose motor, which is worse than the one you've already got. The HESC motor is the highlight of the the HESC system. It has a high reduction system so can give a lot of power and torque.
B. You can't change the battery and keep the rest of the electrical system because the battery uses handshaking comms with the controller.
If you want more range, you have to change all the electrical system except the motor, which would cost close to £400. For that, you only need to cut and solder the 9 motor wires. If you want more speed or power, you can get a replacement control system for about £80. For that you'd need to do some wiring and soldering.
Here's what I wrote to somebody else that wanted more range and maybe other things.
Basically, you have to chuck all the electrical items (torque sensor, battery, controller and LCD) and replace them with the battery of your choice, a KT sinewave controller and LCD, and a conventional pedal sesor. A throttle is a worthwhile optional addition. You have to cut the motor wires at the controller end and solder them to the new one, or cut the motor connector off and solder on the normal 9 pin type. What you do depends on which controller you buy.
That still leaves some decisions:
1. 48v or 36v? If you're happy with the power of your present system, choose 36v. The new system can be unrestricted, which will give about 20 mph. 48v will allow 30% more speed, so cruising in the low 20s becomes a possibility, but you use considerably more battery at those speeds. 48V also gives 30% more torque for the same current. 36v will be slightly more efficient than 48v regarding Wh used per mile.
2. How much current? If you're happy with the present speed or a few more MPH with an unrestricted system, stick with 36v, but if you want more climbing power, you can go up to 22A. I'm not sure what the standard current is, but I'd guess 15A or 17A. At 48v, you need less current. 36v 20A gives identical torque to 48v 15A. At 48v, I wouldn't go higher than 17A.
3. The type of controller? You can get controllers that are integrated into the battery carrier or sperate ones in an aluminium box. Obviously, for a box type, you have to install it somewhere. That would normally be in a toolbag or a propietary controller box fixed to the seat tube. Only the 15A ones fit in the box. If you were to keep your existing battery, the integrated15A controller just fits in the compartment in your battery reciever, but you want a different battery, so all options are open. Some versions of the controllers are 36v and 48v compatible, so it gives options for the future. Some controllers, especially the integrated ones, have what they call the waterproof connectors, which means moulded. They're neater, but fault-finding is much more difficult. That's not a propblem if you don't have any faults. Also, the moulded connectors have fixed length cables attached, which are normally too long, so you have to lose the cable somewhere, which can make it not very neat.
BMSBattery sell batteries, where you can choose to have them supplied with an integrated controller and the rest of the kit, like this example. I prefer this shape because it's easiest to fit. the Hailong shape is fine, but there are three variants, and the original (most common) one has the fixings too far up, so you have to add neww rivnuts to your frame or use some sort of adapter:
36V12.5Ah/14.5Ah/17.5Ah Bottle-09 E-Bike Battery & Charger Color Black Cells / Capacity SAMSUNG 3.5AH / 17.5AH Inner Controller With
New design bottle-09 e-bike battery pack 36V10Ah included a S180 charger.
bmsbattery.com
You can buy most of the KT controller variants at Topbikekit. That would probably be the best place to buy if you're getting the battery from somewhere else, or if you're going to buy a battery from them. Don't buy the cheapest LCD and definitely not an LED display because they don't all give access to all the settings.
ebike controller,electric bike controller,Sine Wave Controller,24v,36v,48v controller
www.topbikekit.com
When you buy from China, they're happy to cover faulty controllers and small stuff, but batteries are a problem for both sides. In 10 years of buying around £25,000 worth of ebike stuff from China, I had one problem, where they sent me the wrong speed motor, so I'm happy to recommend it, but if you need absolute assurance, it would be better to buy the battery from a reputable UK supplier, like Eclipse Bikes.
Finally, the bike has a standard frame, so you can save some weight afterwards by changing the torque sensor crankset for a conventional one and or the bottom bracket. You would then have the option of a double chainring and/or fitting a nice hollowtech crankset.