I changed the rate for SUI, so Quickbooks started "Catching up" the wage base in error. So I made an adjustment and now it is trying to "Catch up" again and dont want to

It won't stop.  Why don't you want it to fix itself?

I don't want it to - it is doing the "fix" aka Catch up all by itself - I am over-riding the weekly payroll SUI Wage base in Payroll -

I don't want it to "fix" itself or "play catch up" 

I want it to stop calculating for employees that are already have contributed the max amount for this year.  It is currently "acting as if" everyone is at zero again - instead of seeing what was calculated for the year already.  Does that make sense?

No, it doesn't make sense.

The max tax is normally a result of the rate times the wage base limit. I don't know of any SUI taxes that have a secondary limit that is independent of the two. But, if a tax is set up that way in the tax table, then that limit will be enforced no mater what your rate.

QB will not act as if everyone is at zero after you change the rate, but it will begin calculating again if the tax rate is changed for a period that you already saved paychecks where the SUI tax was calculated at a lower rate.

Normally you should set the tax rates before the tax is used, and then the tax will accrue smoothly, but if you change it after the fact, then it will 'catch up' and in the end the tax will be the same YTD.  However, if you change the rate for a quarter after the quarter is over, then the additional tax will be accrued in the wrong quarter.  This may or may not be an issue for the reporting form, as some forms actually recalculate the tax based on the wages, which don't change when you change the tax rate.