No credit card required
Browse credit cards from a variety of issuers to see if there's a better card for you.
Need more data:
I'd say you're probably OK but you may also want to apply for Freedom or Freedom Unlimited now, get the card, sign up with Chase online and then go in-branch to see about Reserve preapprovals (in-branch are really strong).
Many people have double dipped with Chase and even gotten 2 cards with one HP. YMMV.
I tried searching here but didn't find it but there is a thread where someone with only one Capital One card ended up getting Chase as their second card and they were given a very hefty limit.
This is a tough call for me. First thing to note is you can sign up for Chase Credit Journey for free and they give you a useless Vantage Score monthly, but they also may give you prequalified offers. Might not show up instantly but people have gotten Chase offers through there. So sign up today anyway.
Getting the Freedom or Freedom Unlimited will give you 2/24 for your recent credit cards. It'll get you a Chase login quickly and you MAY get offers very quickly there for CSP. CSR is not offered online with prequalification, but once you have a relationship with Chase, even a credit card, I believe you can go to a branch and sit down with a personal banker and see if they have a prequalified offer for CSR.
Doesn't hurt to app for both Freedom and CSR at the same time and it may let you get both with ONE inquiry, but maybe not -- Chase sometimes pulls two bureaus for a first card.
Chase recon line is pretty good, though. Lots of good reports on Chase recon for CSR.
Ahhh...bogus!
In my opinion (which is slanted to cover my credit wants), I would make a drive to a branch if I had a relationship with Chase and could check for offers. Those in-branch offers are the most solid ones Chase has!
Note this brand new post: http://ficoforums.myfico.com/t5/Credit-Cards/Chase-Selected-Offer-after-Ritz-Carlton/m-p/5091283/hig...
They got in with Chase, created a login, and immediately had offers on the login website.
Honestly, if it was me, I'd just do both Freedom and Reserve same day and hope for a single inquiry, and if they deny Reserve, I'd be on recon.
Data points from another forum show some people called recon three times before they got their Reserve. You have good credit, no derogatories and have a single credit card with a high limit. Chase probably would love you.
The "Chase Trifecta" is having Freedom, Freedom Unlimited AND one of the Sapphire cards. But you can only app for 2 cards with Chase in a certain period (30 days? 60 days? I always forget). So I personally would go for one of the Freedom cards AND the Reserve card and if denied, immediately recon. If denied, recon again.