HSA annual vs per pay period rate set up

Summary:

Hello!

Looking for some advice. Client has an HDHP plan that is effective 7/1 of each year. However, the HSA is on a calendar year. Addition complexity, the employer contributes different amounts depending on if you enroll in Emp, Emp + 1 or Family, as well as if you are Full Time vs Part Time.

So the matrix looks like this:

Any opinion on setting up the HSA as a per pay period defined amount/annual displayed amount vs annual defined/per pay period displayed?

Also, can you leave the max amount empty and let the element capture the total.

Really appreciate any input.