I have been having the same exact issue and have been trouble shooting it for some time now. I finally was able to trace it to Super Cache as well. I deactivated Super Cache and the problem persisted. Then I re-activated it, changed out of mod-rewrite (to php) then in the Easy tab deleted the cache. Then I de-activated Super Cache again.
When I tried https://springgunpress.com it actually loaded again and no more blank screen of death. To be clear https://www.springgunpress.com always loaded fine.
This is a workaround though and I like Super Cache. I would like to be able to reactivate it because now my site is Super Slow instead. ??
The only active plugin I have in common with katinkaspirituality besides Super Cache is BulletProof Security.
Any ideas about a fix for this would be fantastic.
Thanks!