It's encouraging that you engage with your local schools, though your use of the term 'Careers Teachers' somewhat perpetuates the confusion which persists in the mind of 'Joe Public' as to what exactly constitutes a 'Careers Teacher' and what is the difference between a 'Careers Teacher' and a 'Careers Adviser'. I won't bore you by expanding on that here.
I worked initially for St Helens Careers Service ( consistently rated amongst the top few in the country on all measures) and later for Greater Merseyside Connexions, into which we were absorbed. ( Kicking and screaming I might add..)
Throughout the whole of that time, we organised an annual 'Higher Education Conference'. This was hosted by the University of Liverpool.. who had suitable premises. Students from all Merseyside 6th Forms, 6th form colleges and other colleges offering Level 3 qualfications post 16, were bussed in in batches over a 2 day period. The event was comprised of two main elements. 1. A 'market place', at which hundreds of UK Universities and other HE institutions, plus a number of Professional bodies, would literally set up their stall, offering advice, information, literarture, badges, pens, etc.,etc. etc., and of course promoting their institution.
2. A series of Information Sessions, dozens at a time across multiple lecture theatres, running IIRC about every 40 minutes, were delivered by HE lecturers or sometimes reps from professional bodies, outlining access to, training processes and opportunities within, any number of occupations accessed via HE. For these, we asked the various professionals to try to avoid promoting their own institution and rather, give an overview of HE study of the subject in question.
This was a hugely successful event and much appreciated by schools, pupils, professional bodies, and HE institutions. I don't know whether it still happens. I'd be pleasantly surprised if it did.
Mull