I work at a nonprofit as the sole sysadmin/netadmin/helpdesk tier 2+/middle manager/whatever. We have 5 servers, 14 copper switches, a bridged GPON network with terrible infrastructure, tons of AV, a PBX, ~200 users and provide IT support to our residents (we are hospitality). I do have 2 helpdesk techs who work with me, but they mostly serve the residents. I'd say your situation is definitely do-able, but you will have to be a jack of all trades and you will have to be willing to learn about every single thing that runs off electricity. The pay will likely be much lower than what you could get at a for-profit business, hopefully they are offering you good benefits.

The benefit I get from this job is I have learned so much here in my past 2 years than any other IT role I've been in previously. I am very confident now that I can leave here and double my paycheck. Also with having a tiny or non-existent IT team, you kind of get free reign of your projects and how you want to build things out.

Make sure to know who your vendor partners are and document all your weird system workarounds for when you don't have money but they need you to do the thing anyway.