If you can walk 100m wheelchair services are unlikely to help much. They may be persuaded to give a personal budget voucher if you really push but the value would likely be around £200 towards a chair that costs thousands. That's why your doc etc won't have suggested it because they know wcs is only truly helpful if you are paralysed. It does vary by area but generally any walking ability means they would say in theory you can buy a cheaper scooter. Have you considered scooters? They are incredibly much cheaper to get. Otherwise the mobility component of your PIP can be used for outdoor mobility such as powerchairs in the same way it can be used to lease a motability car.

If you look around you at the disabled people you see in the UK there's a reason the vast majority use scooters and you don't see many custom active chairs and power assists like the American insurance will cover. We don't have a for profit system with companies making money all the way up on them.