hello,
I just came upon this question since I wanted to participate in the Friday jam in an hour
I dont have any special microphones for it, I got an electrionic mute, which can take sounds
but sounds kinda meh and buzzes weirdly
and the microphone from my headset, which I can hardly use because i would have to drop the headset next to my Horn then (I could try that and use another pair of headphones to listen to the rest of you)

for reference I recorded the intro riff to Tornado of Souls with both (I didn't do many takes so it's not flawless but this is about sound quality anyway) and I guess im better off with the headset solution?
electronic mute: http://vocaroo.com/i/s1q6qeMFUFvq
headset: http://vocaroo.com/i/s1RzC2f8TgBQ

if you have any other solutions or advice they are welcome

what about integrated microphone of your laptop? I tried mine as a test: http://vocaroo.com/i/s0rNm1egcdIE
for recorder headset is nice too because it is near the instrument… curious to see what solutions are the best too.

well I dont have a laptop microphone and used my headset mic to participate in the last jam, worked out nicely (could hardly hear myself on the recording after but I heard myself while playing so that was fine)

Floing
electronic mute: http://vocaroo.com/i/s1q6qeMFUFvq

This recording sounds a little overdriven, like the input volume was too loud for the mic or recording device.

Floing
headset: http://vocaroo.com/i/s1RzC2f8TgBQ

Sounds pretty good. There is a little background noise but don't worry about it for now.

If you start jamming and/or recording regularly then you may find solutions for higher quality recording worthwhile.

There are all-in-one USB sound card and microphones:
Line6 SonicPort VX
Zoom H1

A more traditional recording setup is a USB soundcard together with microphone:
Focusrite Scarlett 2i2 soundcard
Behringer B-1 microphone

Floing
could hardly hear myself on the recording after but I heard myself while playing so that was fine

If you couldn't hear yourself well in the recording then the other users couldn't hear you either.

You probably need to turn up the input (microphone) volume.