"By chance do you know of any B and B's that may meet my criteria? "
I assume by B&B you are also including those small very small traditional canal house hotels?
The only one I have stayed in that jumps to mind is the 2 star Hotel Brouwer. It does have a lift. Small and slow and only until 11 pm (7am-11pm) And if the lift is not operational those stairs will do you in.
If you could get a room there----you would need to get a double for single use----because the actual single room is quite small but all rooms are en suite ---you would be lucky to score the Brouwer.
Very hard to get into since they have only a small number of rooms and they are very popular year around.
I love the Brouwer. But I now refuse to pay more for a 2 star no matter how nice than I can pay for a much nicer 4 star through bidding.
There are also 3 star hotels. Quite expensive for what you get. But they do have lifts. Because of the price I avoid these. But they are an option.
I doubt you will find a real B&B or any other 1 or 2 star that has a lift. And those Amsterdam stairs can be tough for an in shape person with no knee problems.
Unless you just have to stay in a more traditional canal house my best advice is to bid.
You will stay in a much nicer hotel. And you will save a ton of money.