The Vermont State Colleges are embarking on an overhaul in a bid to get on more sound financial footing. Even before the pandemic, the schools struggled with chronic underfunding and declining enrollment, but Covid-19’s arrival in Vermont nearly closed three campuses for good. State officials have been reluctant to pledge more ongoing support to the schools, but they have poured tens of millions in one-time cash to plug pandemic deficits, pay for temporary scholarships and invest in a system revamp.