Before I decided to ask this question I have searched quite a long for the answer but I haven\'t found any satisfactory. (e.g. Examples of the best SOAP/REST/RPC web APIs? A
How about coming up with a noun for the feature you want to modify - 'status' in this instance. This would then become a sub resource of the parent entity. So for your case I would model the URI as follows:
/api/accounts/{accountId}/status
If the 'update' semantics are idempotent then PUT would be most appropriate, else that would need to be a POST (e.g if nonces are involved and are invalidated by the service). The actual payload would include a descriptor for the new state.
Note, I pluralized 'accounts' since you can have multiple of those, but status is singular since your account can have only one state.