I worked in grant administration at a university. That's basically compliance oversight of those spending grant money to make sure they don't break any of the zillions of rules attached to those dollars.
Don't just look on university sites. Many (maybe most) universities break out their research foundations into separate organizations. Those jobs would be listed separately from the university jobs. Generally the organization would be called "[MMMUniversity] Research Foundation", so search for that for each university near you. Also, since you mention working an alumni connection, I know my university gave zero preference for alums, so I don't know how effective that will be. (Well, there may have been a teeny, tiny preference that came in to play if all other things were equal, but it it was basically meaningless.)
Also, if you want or need to make a ton of money, this probably isn't the route to go. I had great healthcare (no co pay, though I left in 2010 so that could have changed, and I believe there was a small copay for family members), a generous retirement plan (equivilent of 10% of salary into a 403b, no matching investment from me required), and few other nice benefits. But pay was very, very middle of the road.
And while I had a good deal of non-profit work experience (basic admin stuff) and I'd taken on online 6 week grant writing course, I had no actual grant writing experience, and nor did any of my colleagues that I can recall.