@bopper is on the mark about checking what the school offers for SL and HL. With that said, HL math may well be beyond a Calc 3 level. (It is at our school. )
I would say that most private colleges would recognize what the IB is. In fact, there is a decent list of ones that will give a year of placement for the IBD. DE credit is more variable. In some places, it is very rigorous and very much on par with what a student at a 4 year college would be doing (and that’s why those students can transfer so easily for their last 2 years). At other places, it may cater to a very different segment of the academic population. You may want to ask each school for its school profile if it’s not readily available.
Reading your posts, part of the dilemma revolves around how the DE program is presented to colleges who don’t know it.