Is it worth relocating for GCA position?

Hi all! I'm a current applicant with a somewhat weak resume (3.52 undergrad GPA, only virtual shadowing experience, few informational interviews, CTL and DEI experience for advocacy, no significant jobs in the field), so I don't expect to match this cycle.

However, I recently applied for a GCA job halfway across the country (on a whim) and the recruiter is interested in knowing what my relocation plans would be. He made it clear that relocation assistance isn't available, but the expected income range is well within my budget for the area.

Would it worth relocating for a potential position that would highly strengthen my field experience and my applications for next year? I have some money in savings, and I figure that FurnishedFinder (or the like) might be a doable transition during my hypothetical first little while at the job.