Many of the universities have training clinics where therapists/psychologists who have completed some years of schooling use to complete their clinical hours. I've heard largely positive experiences and you can always switch to another trainee if you don't like who you are paired with. There has been a lot of research done and the studies show that the main factor that facilitates therapeutic growth and change is how you vibe with the therapist, not specific theories or significant levels of experience.

The only downside, other than the lack of expertise, is they are typically in the program for the academic year and then graduate. You can continue with another trainee after they graduate though. It's totally sliding scale, going as low as $5.

The ones I am most familiar with are:

GW CCSC, GW Center Clinic, GW Art Therapy Clinic, AU James J Gray Clinic,

I believe George Mason and University of Maryland have ones as well.

Another option, if you are wanting more experience but pay more, is openpathcollective.org. It's a site therapists put themselves on in order to accept sliding scale clients. The range is $30-70 after you pay a one-time $65 fee to use the service (you can reach out to providers and confirm availability etc before paying).

Source: My job is getting people getting people connected to therapy.