Trying to switch the current being measured will require heavy duty switches and careful coordination, and will add complexity aroud the safety equipemnt (fuses, current balances etc) so don't attempt to do that.
You shouldn't worry about multiple clamps in close proximity, the clamps don't radiate much nor will they pick up much interference.
You could have multiple clamps (or instead one piece current transformers) each with burden resistor connected full time and switch between them using small signal relays them taking readings from each periodically.