Reading How does Reputation Work the following statement is provided:
You can earn a maximum of +200 reputation from upvotes and suggested edits in any given day. Bounties and the bonuses for accepted answers are counted separately (source). Reputation “lost” from the reputation cap is not awarded on following days.
You could earn those
X reputation back if you managed to win a bounty for
X amount or several that sum up to that, or if you got several (14 to get 210 rep) accepted answers.
However, following the logic in that quote, you can only get 200 rep from upvotes and suggested edits (which you no longer get :/), so even though you got more of them you will not recover that rep you offered as bounty.
Edit: Found this Meta SE post where @TylerCarter explain in depth this situation, extracting some key points from it:
- Q: Does paying a bounty actually reduce the reputation cap still? A: No
- Q: After paying a bounty, am I considered to "reach" the reputation cap after getting 200 reputation worth of upvotes, or getting a net daily gain of +200 reputation from upvotes? A: 200 reputation period. Not net, but period.
... and some other explanation in that post. This seems to match the logic above explained; after you award your bounty, you could still earn 200 rep from votes to rep cap.