Apart from anything else, you are effectively 'fiddling' one or other club out of much need membership fees and check flight(s).
If this is a regular thing, both join both clubs. You may be able to come to an agreement re the need for a check flight if you can show you have been flying the same type at the other club. In my experience, some clubs are flexible re the time needed between flights of different types if the member is known to them and is reliable, competent and safe.