Isopropyl alcohol is generally preferred for cleaning purposes, as it's non-corrosive and will evaporate cleanly at room temperature. You can get the dedicated solutions and maybe one of the guys with more bench experience than me can recommend one, but I don't generally think they're worth troubling yourself with.
If the graphics card doesn't have an external power connection, then it's not going to damage anything. Even if it does it's almost certainly okay, but the risk increases when there's an external voltage supply.
"Sticky-ish clumps" is frankly a bit alarming, but I suppose if you've cleaned it as well as you're able there's nothing for it but to plug everything in and see what happens.
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I wake up in the morning more tired than before I slept
I get through cryin' and I'm sadder than before I wept
I get through thinkin' now, and the thoughts have left my head
I get through speakin' and I can't remember, not a word that I said
- Ben Harper, Show Me A Little Shame
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