I am least familiar with SIM, but you can do live-cell SIM imaging for sure. The processing is a bit computationally intensive but not so bad (and can always be done post-hoc).

The big thing you have to look out for is the light intensity killing the cells or bleaching your signals. One of our collaborators is actively working on on-the-fly SIM processing for live cell imaging.

A quick glance at pubmed it looks like 11Hz was do-able several years ago https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2895555/ and this (sorry paywalled, I've heard sci-hub has the paper...) https://pubmed.ncbi.nlm.nih.gov/30478322/

STED is promising for live imaging too. Lots of beautiful pictures out there!