If both your computer and phone aren't recognizing the Switch, its definitely not entering RCM. I think you should make a thread and title it "Switch is not booting into RCM with jig/screwdrivers. Maybe other users can give better hints on how to short pin 10 in the Switch.
https://gbatemp.net/threads/rcm-payload-hekate-mod-raw-full-nand-backup.502604/ This first one is extremely similar to the Hekate one except it can do it in parts so if it is interrupted, you can pick up where you left off since that was your problem earlier.
Another method involves simply copying the NAND from within your computer.
https://gbatemp.net/threads/how-to-...icrosd-card-as-an-usb-disk-on-your-pc.503701/ This payload will mount the Switch's eMMC on your computer and then you can just copy and paste the files onto your computer's hard drive. This method takes a little big longer.
The last, and least friendly way, involves Linux.
https://gbatemp.net/threads/tutorial-how-to-dump-switch-nand-using-linux.502201/ Thankfully, in the Tutorials section of the Nintendo Switch section are some useful guides on how to boot Linux. This one would be considered the last resort if you cannot dump it any other way.
Yeah I just reread your original post. 1.0 is the only firmware to boot into RCM using a softmod publicly. I believe ReSwitched is holding onto the exploits that work up to 4.1 and are choosing not to release them until, like you said, Atmosphere is completed. Whether anybody else will release it before then, well, who knows? The bootrom exploit got leaked ahead of schedule.
People have been dumping their saves as well as other things on the latest firmware and nobody has been banned yet so possibly? Everything (aside from downloading NCA or Switch games directly from Nintendo's CDN) has a low to zero chance of getting you banned.
Just put the jig in, then hold power and volume +. If you don't see the Nintendo logo and the screen stays black, congratulations you've entered RCM!