I know a bit about the proxy advisory ecosystem, so I can provide something of a generic summary, though nothing specific to EA.
In the U.S., there are five different companies that advise institutional investors about how they should vote their shares: Institutional Shareholder Services, Glass Lewis, Egan-Jones, Segal Marco Advisors, and ProxyVote Plus. However, Institutional Shareholder Services (ISS) has around 61% market share, and Glass Lewis has another 36%, so the industry is quite concentrated. While ISS guarantees its clients 100% portfolio coverage (and as a result, produces research reports addressing pretty much every proxy ballot item on the planet each year), many of its smaller competitors offer narrower, more specialized services. For instance, Segal Marco advises primarily labor union pension funds, and there are a few other proxy advisors outside of the U.S. that specialize in companies listed in the country in which they are located.
ISS (like most of its competitors) offers its clients voting recommendations determined through the application of a defined voting policy selected by the client in question. While the plurality of its clients use its benchmark policy, which is focused on long-term shareholder value creation, ISS also offers a number of specialized policies targeted at investors concerned about corporate social responsibility, sustainability, labor interests, etc. For clients who feel that none of ISS’s preexisting policies fit their particular goals, ISS offers custom policies that clients can develop collaboratively with its advisors.
Assuming you are not an institutional investor, you will probably have a hard time accessing ISS’s proxy research (or that of any of its competitors) at a cost-effective price. In light of that, I’d refer you to two other organizations that work in the corporate governance space. The first is As You Sow. It runs shareholder campaigns at companies to promote largely environmentalist goals (though it does work in a few other areas, as well). If you own shares in any of the companies that it is targeting, you might be interested in taking a look at its campaign materials and considering them in the context of EA, your own values, etc.
The second organization is CtW Investment Group. It runs governance advising and shareholder campaigns on behalf of a coalition of U.S. labor unions on a broadly similar model to As You Sow, though it is more focused on worker interests and general good governance norms than on environmental concerns (by virtue of the stakeholders it represents). Like As You Sow, its campaign materials are publicly available online and might be worth reviewing if you’re voting a proxy at a targeted company. Both of these organizations are considered to be highly credible in the governance space, and while there’s room for disagreement about certain elements of their respective agendas, their research is considered to be of a reasonably high quality.
I'm sorry to say this, but unless your "substantial sum" is many billions of dollars, or hundreds of millions invested in a small number of firms (i.e. not in mutual funds), voting is likely largely be a waste of your time. It might be worthwhile for you to estimate what % of the vote you have in a typical company - my guess is it is very small. Worse, unlike in a political election where both sides tend to be roughly equally balanced, and hence the marginal voter can make a difference, as a first approximation pretty much all shareholder votes come in two flavours:
Obviously there are exceptions (notably, activist hedge funds!) but I would expect these two cases to cover the vast majority of the proxy solicitations you receive.
For reference, I worked for a fund that invested billions of dollars, was one of the top shareholders in many companies we owned, and I regularly met with CEOs... but I think our ability to influence their strategy was very minimal. I can only think of one time where I think there is a >1% chance I had an impact.
Thanks, good comment!