I'm not convinced you "Need" new core support mounts for the frame, if that's what you want to do I'm not judging.
Just bolt the core support down with what you've got, the fenders and inner wheel wells should hold the core support wherever you adjust it. Like someone said earlier you will need some wiggle room to adjust your core to your body panels or visa versa. I hade to get a jack in my hood gaps acceptable. The mounts just need to dampen vibration and hold the core support to the frame.
Or... since your body mounts you purchased just use a washer to center why not fabricate a new washer that fits better?
Or... You could also just repair the hole in the frame and touch up the paint
I bought the fanciest rubber body mounts I could find (Goodmark I think) & still needed to modify them for the core support. My issue had to do with the height more than the hole diameter, I couldn't get my fender gaps even close without cutting them down. Actually, I don't remember mine even having a washer to limit movement in the frame hole, just the sleeve that limits how far the mounts will compress.
IIRC this is the rear cab mount but the core support mount was similar.
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