All info can be found in this thread. Not sure if you are too late.

Rubbish. You don't need min SGD200k. Min to open is SGD3000. If you use maybank route, min is SGD500. Of course with SGD200k, higher chances

I opened mine with DBS for SGD3k, maybank SG for SGD600, Cimb SG for SGD1k then I move the SGD1k out.

Keep in mind SG banks charge you if you have lesser then the min amount. Best bank for temporary parking is cimb fast saver as it's free (no min level) and give 1% pa.

DBS - need to be physically there. At MBFC. Ask for DBS Vickers account then only they will let you open bank account.
OCBC and UOB I think same procedure. Tell them you want to open trading account and bank account. I think can be done at raffles place as there is their HQ.
Maybank SG - Can be done in malaysia without visiting SG. Go download and fill up isavvy forms for malaysians.
Cimb SG - Online application but needs a local SG bank account first.

Not sure if DBS, OCBC, UOB and maybank SG close their doors. If door is close, then yes, you need min SGD200K to open.

You can forget about it as you need to spend with their cards and pay bills with it unless you are in Singapore.

Go open stashaway simple or equivalent.

I linked CIMB Malaysia with CIMB SG. It took around 2 business days
I have the same thought as u that want to park some fund in SGD. The interest rate in SG is very low. No appetite at all. I keep the fund in SG REIT. Hopefully it is the right move. Wish to hear from experts to share too