How do you refer to someone who has access to an abundance of resources?
Solution 1:
For someone with money, "wealthy" is the obvious answer (and connotes various kinds of abundance).
For someone with social resources, "influential" or "well-connected." If you want to suggest that they don't often use these resources, but that people would do things for them if they asked, you might need a more specific term describing the nature of their standing, such as "respected," "popular," or "well-loved." If it's just because they're powerful, then maybe "powerful" or "important."
For someone with intellectual resources, a person who knows a lot of things might be "knowledgeable" or "widely-read," or they might be "a polymath," a "jack-of-all-trades," or a "renaissance man/woman." Or they could be "clever." "Clever" is sometimes used as a subtle insult (or as conspicuously faint praise) to refer to someone who has intelligence or problem-solving skills but uses them for trivial things.
Solution 2:
Many of the most-appropriate terms are hyphenated pairs, rather than single words: well-outfitted, well-equipped, well-appointed, well-endowed, well-turned-out. Less-specific (but single) words include enriched, fortunate, moneyed, prosperous. In clover is a relevant idiomatic phrase.
Solution 3:
l would describe then as "resource rich". Perhaps not the most elegant solution, but it avoids the alternative meaning of "resourceful" you are trying to avoid.