Geniescience
Homeowner
The OP asked about a different strainer, a closer match to his faucet.
("... use a different strainer to match the finish")
He could have that strainer replated.
He seemed to confuse the metal strainer with the word "drain"
".... find a drain that will fit with the ikea pvc..." and
"... interested in replacing the drain outright..." and
"... looking for a replacement drain with a similar configuration to the Ikea setup, or a way to build something that will work..."
I think the first response he got took the thread into sterile territory.
Tons of other responses scorned the setup.
They didn't respond to his need for a metal strainer.
BUT the OP was dumb to go and explain the whole setup if he only wanted a strainer.
.... a huge fullsize drawer. The kit comes with... pvc plumbing ... the drain does not ... drop into the vanity. This feat is accomplished with a specialized drain strainer and tight 90 degree elbow).
He said "This feat is accomplished with a specialized drain strainer "
Actually no, the feat is accomplished with a tight elbow.
The strainer sits on top.
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An elbow under the sink drain takes the sink's waste water to the back wall, instead of the normal way of letting waste water drop in a straight line down the the P trap positioned in space directly underneath the sink drain. So, the tight elbow replaces what people normally see, a straight pipe known as the sink drain tailpiece.
Then, when that pipe reaches the wall (and if memory serves), the Ikea setup has a few connections there, for the overflow to connect in, and maybe another inlet. This is a good thing. It allows "venting" so that drain water, when moving forward, displaces air of equal volume. This allows the drain to flow well. Then, the drain pipe goes downhill, to the P trap.
The venting referred to here is not the venting that comes after the P trap.
Good to know whenever you talk to others, or write about plumbing.
After the P trap it is DWV venting, which has sewer gases and is dangerous.
Prior to the P trap, "venting" is regular air being displaced to help the drain water get moving.
(Some sinks without overflows drain slowly. This is why.)
1/
The first elbow under a drain can be a tight turn. A closet elbow and a tub shoe, under toilets and bathtubs, are tight turns. This is code.
In the case here, it allows you to put the P trap somewhere OTHER than "directly underneath the sink drain" straight down. ADA wheelchair access plumbing is like this. If you are in a wheelchair, you wheel up to the counter and do not have to maneuver around a P trap banging into your knees. The P trap is somewhere else. The same principle allows you to have a drawer under your drain in this case.
2/
If anyone objects, read this nest statement: people have it drummed into them that a P trap must be positioned in space directly underneath the sink drain. This is false information. I've discussed this subject in this forum before. This is one of the few minor mistakes that Master Plumbers make sometimes.
3/
Hope this helps explain Godmorgon and Braviken plumbing.