If CSP is out, I would go IHG (60,000 points) or Venture (40,000 Miles=$400). Both have annual fees after the first year though. I've already got the CSP and Venture. The IHG from Chase is the next one I'm planning to get for signup bonuses since that's the preferred hotel group for my wife and I, so I may be biased. 
I'm happy that all my inqs from my venture card app finally dropped off after two years of having it. It was my first card and I didn't realize at the time the significance of three HPs.
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@Anonymous wrote:I would not waste 3 hard inquiries for $400 especially 400 that has to be redeemed as travel credit. ...U could get far more value from other cards with less inquiries.
EG: $175 cash rewards, and $120 from Better balance rewards (year after year), all with no annual fees
unless of course you pair it with a quicksilver app, and get $100 from that as well, and intend on combining them in 6 months, I suppose....
BBR doesn't have a sign-up bonus but if you want long term rewards, definitely worth it.
Have you considered Barclays Arrival? Same as Venture for the $400 but will most likely only be a TU pull.
Quicksilver $10,000 | Better Balance Rewards $2000 | Sallie Mae $3500 | Freedom $3500