I have fulfilled all the conditions set for me in an offer for a 3-month contract for a junior NHS role in Wales, but the NHS Trust seems to want to stall the clearance process indefinitely for me and all other applicants to this contract.
A couple of days ago the NHS Trust emailed that unfortunately a decision had been made to prioritise applicants for the permanent version of the contract, and signed off with best wishes for my future. They emailed again the same day to clarify that they were not withdrawing the conditional offer of employment (only prioritising applicants to the permanent contract), but I am fully aware this could precede a withdrawal of the offer.
Since my mandatory in-person identification check 3 weeks ago, I feel/have felt obliged to lodge locally for all forthcoming appointments in the clearance process. Furthermore, in attempting to gain eligibility for Ambulance Technician Apprenticeship roles I failed my first driving test (one major fault) two days ago, tying me to this region for the purposes of access to my driving instructor's car. (The cooling off period until retaking the test is at least 10 days. I need the licence to gain eligibility to apply for Ambulance Technician Apprentice roles, and I need to be an essential worker to book a test.)
Given I have already shown the Trust a lot of commitment and have already invested a lot of my time/savings in the role, what can I do in terms of pushing them to re-prioritise me? (I have already spent 10% of the money that I would have been paid over the course of the entire 3-month contract on local lodging, am nearing the point where I would struggle to make it to payday even if given a start date tomorrow {I had been planning for the paperwork to be complete in accordance with HR's initial estimate which is now well in the past}, cannot borrow because I am not on a payroll, am under the impression that my situation makes me ineligible for unemployment benefit, and requesting to switch to a permanent contract is very far from ideal from me as explained in the comments, so I feel I have do not have much to lose by trying to negotiate with them.)
NB: I have simplified this question and am editing/improving it response to feedback from comments.