What I did, step by step, in case anyone finds it helpful:
1. 19th Nov - Created support ticket with uploaded scan of my passport (at this point I thought this whole thing is just inconvienient and been withdrawing bit by bit to the tiny limit I still had).
2. Waited 7 days - no resoponse. Somewhere withing these 7 days I've noticed my account was changed to "new" and my withdrawal limit to 0 with no notice or warning. This got me really worried.
3. 26th Nov - I've replied to the same ticket asking for an update.
4. At this point I also started reading on the extent of this problem and got really worried. Tried to get somehow in touch with Bittrex, started posting my ticket number on forums as well as in replies to @BittrexExchange and @ramikawach. I've tried to get their attention to all the bad publicity their company is getting. In tweets, I didn't post begs - there were 100s of these. I tried to ask a constructive question like "when can we get an update on support ticket backlog" etc, but always included my ticket number.
5. Read lots of threads on this topic, including r/Bittrex and r/Bittrexscam.
6. 2nd Dec - Some superstar on reddit said he got his ticket verified after emailing bill@bittrex and also that he got a reply from ryan@bittrex.
7. 2nd Dec - I've emailed these two chaps with a polite request to have a look at my case. I've tried not to sound angry or confrontational. From my own dealings with customers at work, I know how easy it's to get someone in to defensive mode so I've tried to avoid that.
8. 2nd Dec - Got automatic reply from Bill saying he reads all emails but might not reply if he's too busy and also that for support issues I should be contacting support.bittrex.com. No reply from Ryan.
9. 2nd Dec - At this point I've also uploaded to my ticket a new HD selfie plus another selfie of me holding passport next to my face (this is in addition to the passport scan I've uploaded originaly with the ticket).
10. 3rd Dec - Twelve hours later my account got approved for enchaced.
11. I took out all my coins to ledger.
12. Can sleep again.
What I find the weirdest is that my ticket on Bittrex support still shows as open. There's no reply there from Bttrex other than standard automatic one. I've also received no email about my account beign verified. In fact If I didn't log in to Bittrex yesterday I still wouldn't know. This makes me think my whole issue was resoved outside the official support channel by someone reading my email or seeing my tweet or post.
Now I'm not sure if this will work for anyone else. Also sorry for the wall of text.
I did the exact same thing after reading the advice on r/Bittrexscam a couple of days ago.
Was unable to withdraw for about a week with a Name Mismatch on my verification.
This was genuine as the name I gave on basic didn't exactly match the name on the ID I uploaded for Enhanced.
I sent a polite/respectful email to Bill and Ryan and just about 2 hours later my account was verified and I've since been able to withdraw my coins (almost 3 BTC).
Caused me a lot of stress and worry but relieved it's over now.
At worst this is just a data gathering exercise, pretty sure everyone with verification issues is going to get access to their coins in time.