Paynoattention you are being sympathetic to the OP's current emotional needs, but lots of us who may seem to be putting pressure on her are also very sympathetic to her long term circumstances.
I'm sorry but I don't believe none of the solutions are possible. They just feel impossible because the OP is justifiably tremendously stressed and overwhelmed right now, and what she wants is for the right job to come along instead of looking at the interim steps she needs to take to ensure she is the best candidate for the job when it does come along.
An example is - she said she couldn't do a job because all the pay she earned would be taken up with childcare and travel costs. I know scores of women who work with no profit for a couple of years when DC are pre-school age, because they want to be in the current market. they know the pay will suddenly come in when the DC hit school age. But OP isn't prepared to do that. It's not impossible. It just doesn't suit her, and I suspect the can't do attitude is one that puts off any prospective employers. For every candidate who says it's too hard to get tutoring work, TA work, to volunteer etc, there are candidates who make it possible, who bend over backwards to get the requisite experience. That's who OP is up against, so all of us who are pushing her are doing so because we can see she needs a change of heart about what she has to do - not what is convenient or of immediate benefit but what she absolutely must do in order to reach her goal within the next few years.
I lived with a DH who reacted like OP to being made redundant. Nothing was ever quite right. The perfect job never came along. Meanwhile he did nothing for way too long. In the end, after about five years of faff, he started making small inroads into things which he'd previously dismissed and his career is making a slow but active turn for the better. IT's not easy. OP has to do some really difficult juggling, perhaps for no immediate financial gain if she wants to get the requisite experience for her field.
When depression hits, you think everything is impossible. It feels as though something has to be handed to you on a plate for it to be right. But life refuses to work for us like that, and the sooner we accept that and start making less than perfect moves in the right direction, which take far more effort and arrangement than we think we have energy for, that's when things go right.