Check HU royal draw on HHJ table every time, right?

[knicknut]

KTs on high hand jackpot table, Party 2/4, limped UTG, everyone folds to BB who calls. Flop comes AJX of my suit, giving me a royal draw. BB checks.

No question I check, right? The +EV of the semibluff is worth far, far less than the HHJ, right? (I assume the $3k is all mine if I hit it.)

Just making sure I check/call that all the way to the river (and only show aggression on the river if I don't hit my royal but do hit something else).