The telehealth companies are worth a shot, but probably want people at least board eligible...but maybe not just have to call and talk to the recruiter.
I think they are struggling to hire enough people to cover shifts because many are contracted as consult services which means 24/7 coverage. If they balk at hiring you initially, you could offer to pickup an 8 hour overnight shift every week which is probably what they need most because people don't want to work nights usually. And especially if you said you'd pick up a Friday overnight every week. Or maybe 2 overnights every week would sweeten the deal for them.
The hard part is they cover dozens of hospitals, so you'd end up needing privileges at maybe 50 hospitals which takes a lot of time to setup, so if you can only work 1 day a week it may not be worth it to them. And if you're not board eligible it could be hard with some hospitals being okay with you and others not approving privileges, which is just another frustrating layer where a "board certified" np with a fraction your experience can get hired to do complex consult and ED work but they won't hire you because of rules.
Daytime telepsych at outpatient clinics I don't think has the same difficulty with hiring.
The old tried and true moonlighting covering weekends on inpatient is probably your best bet. Privileges at a single hospital. Nobody wants to cover weekends so you are helping out. And if they have a history of using residents as weekend coverage it's no problem. The way to find these jobs is just find the medical director for the unit and call directly, or call the unit and ask for the medical director if you can't find a direct number online. These jobs aren't usually posted on job boards.
Starting a virtual private practice and building a very small patient panel would be a bit of risk, but could be very rewarding and pay off in the long run.
The worst option is social security disability evals, but can be a way to make some extra money at least.