I can tell you that in your shoes I would not do it. I understand the temptation, but if you believe trying it is -EV, then conceptually this is no different than playing the lottery. I think the time and energy you put into it could likely be put towards a side hustle or part time job with a pretty much guaranteed +EV.
I'd also point out that with every hand of poker, you're deciding to continue or quit, so to say it's risking a few months of net pay for potentially years of winnings is a fallacy. If you took 3 months pay and won 3 months pay, you are now risking 6 months pay to continue. Sure you can fool yourself into thinking it's only the 3 months pay you're risking, that the rest is "free money", but you really are just fooling yourself. The winnings are no different than the original capital you're risking. If every bet is -EV, then you're just hoping you get lucky and making poor decisions all along the way. The only way to avoid this would be a one time bet like a single number on the roulette wheel, and I doubt you'd be as likely to consider doing that. Why? Because it's more obvious that the odds are highly against you.
To qualify how I understand the temptation, back in the mid 90s I played blackjack, really just on a lark, using a basic counting cards system. It was very small-scale--almost always the $5 tables after work for the day was done, and I would quit when I was up $200 for the night, whether it was 15 minutes or 3 hours later. My winnings went up pretty steadily--one of my superiors at work even joked with me about quitting my job to gamble full time. One night I hit $200 winnings almost immediately, and decided to try the $25 table, and hit it big for my standards, up over $2,000. I was actually scared to cash in thinking I'd have to sign a tax form or the pit boss would have a talk with me or something (it was uneventful).
I was up probably about $6,000 at the peak. Then mysteriously my net winnings started steadily going down. I probably was just lucky early on, hard to say really. I had promised myself that I would quit if I ever got back to zero, and I would have, but my fiance (now wife of 15 years) thought I was addicted to gambling, didn't want to marry an addict, and demanded that I quit. I did, and used the $3,000 or so to offset wedding expenses.
I have also taken risks in other areas of life. I left a pretty stable and high paying job to help found a tech startup, with two small children and a stay-at-home mom at home. However, it wasn't some work out of my basement and hope thing. I knew the other founders from previous jobs, and the CEO had raised money and offered me a salary around the same as what I had been making, in addition to stock grants. I figured the worst that would happen would be that it imploded and I'd get another job like I had before, and the position and experience would still look good on the ol' resume. Best case, they'd IPO and I'd be at FIRE instantly. We also invested some of our own money a few months later, although that was not a requirement. There were other reasons to do it as well--I was pretty burned out at the old job, and the startup would mean a lot less travel.
I did leave after two years (long story), and I'm actually back at the same company I left (they generally welcome back people who leave as long as it was on good terms). The startup is still going and actually still may IPO, and depending on valuation might push me into FIRE. If they don't we'll be OK though. Looking back on the startup, I think it was a good decision, even though it didn't work out exactly how I had hoped. The key difference for me is that it was essentially a win-win no matter what happened. If you had a situation like that, I'd say go for it.
If you do go ahead with the poker, I'd advise you to set very clear limits that you will not violate--just like having stops in the stock market. If you had a run and then lost it all, I think you could easily be tempted to risk *another* few months salary to try again, or to "get back to even". Also have a very definite point where you will take all the winnings off the table and stop for good. I'd still advise against it overall though.