Hi legalpanther,
Both of the frames you linked would certainly be strong and stable enough to support both your foundation, mattress, and you so from this perspective they would both make suitable choices. Noise that comes from a bedframe is usually a matter of making sure that all the bolts or fasteners are tight (no metal on metal rubbing), that the bedframe fits the box spring snugly (so it doesn’t move, twist, or slide around) and is well centered. If anything the embrace would probably have less potential for metal to metal noises or squeaking.
Neither of these would have much storage underneath them if that is a concern and some platform beds may also be worth considering if storage is an issue.
While bedframes are not my area of expertise … there are a few links and options linked in post #10 here but almost any good quality and supportive bedframe with a center beam and good support to the floor would probably serve you well. I would make sure that the center beam has at least one middle leg with support to the floor.
I don’t have any experience with using cinder blocks although they would certainly be strong enough IMO as long as your box spring was supported along both edges and in the middle. they don’t have a lip though so depending on how you used them (on edge or flat) I would think they could also have some risk of tipping over and could also have some risk of the box spring sliding or shifting with more vigorous activity on the mattress.
If storage is a concern then a platform bed or one of the wire grid frames in the foundation thread here may be worth considering but this would depend on whether you have a box spring or a foundation under your mattress. If you have a foundation (with no flex) then you could put your mattress directly on the platform bed so the sleeping surface wasn’t too high but if you have a box spring which flexes and is part of the sleeping system then using a non flexing base under your mattress will change the feel and performance of your mattress and they should be used together.
Phoenix