Come up with a plan and present that if you can. I was a Web developer for an FE college for 10 years. I now work as a Web developer for a commercial company. (Probably similar to the ones that came to do your demos). Honestly, the head probably just wants a quick turn around and something "flashy flashy" to show off. The problem is, once you commission a commercial company to so your website, and they'll almost definitely go WordPress, and rightly so. It's the best tool for this sort of job. They'll customise it heavily. You'll then end up in an almost endless loop of paying them hourly or daily rates for changes, tweaks etc. And definitely avoid any company that wants to build you a fully custom theme. There are so many great managed themes out there that can be customised to your needs, especially in the later versions of WordPress using the block editor etc. Truth is, return on investment for a school already struggling won't happen if you go with an agency development. It'll be money down the pan. Propose they invest in strengthening your team and build it yourself using a decent theme that's managed and updated constantly alongside WordPress standards. Where required maybe ask for a day or two's consultancy to get you going if you need it. But yeah, even though I now work for one of those companies, if I was still working on the college I would take that approach any day! Good luck mate. Let me know if you need any help.