Strategy after hitting Chase 5/24

Are there ever times you are not working on a new card member bonus?

Situation:
I'm a Air Force HPSP student. I am on Title-10 orders until May 15th. I have hit my Chase 5/24 and don’t plan to open any additional credit cards until I am back on active duty, roughly one year from now. I will still be maxed out on my 5/24, My wife and I will be working on a few welcome offers over the next 6 months. After that, I will refer her to a few of the Chase no-fee cards while I’m off active duty orders.

However, there will come a time when I want to circle back and obtain more Chase credit cards. Do you have any logistical advice on how to do this? I know that it’s possible to jump around to other cards/banks, but any cards from these will further prolong the 5/24 limitation.

Are there periods where you are intentionally not opening up any additional credit cards so that you can become eligible with Chase?

What do you do in a situation like this?

Thanks!