Closing your cap1 card will affect your utilization even if you don't charge a big balance to it. Right now you have $4300 in credit limit. After Cap1 is closed, you will have $1000. That means, if you charge $200 on your chase card, you will have 20% Util instead of 4.7% Util (if Cap1 was kept open). Utilization can have a big impact on your scores.
I think it is a little premature to close your secured card. Keep in mind that Chase based their decision on your open secured card. If you don't get an increase on recon and ask for the increase down the road, Chase may decline if your secured card is closed or they may give a lower credit increase as they have nothing to match it to. Chase usually HPs for CLIs, so they will most likely look at more than just your history with them.
I know if the card had $200 of your money versus $3000, you would be more patient in waiting so I do understand the urgency but you should consider the points I made above in your decision. If you can stand it a little while longer, it will pay off.
Cards: Orchard Bank ($1100) | Cap1 Cash Rewards ($2500) | Chase Freedom ($1000) | Best Buy ($2500) | Discover It ($1000) | Barclay Rewards ($2500) | Current scores: EX FAKO: 684, CK TU: 649, FICO EQ: 680, FICO TU: 698, FICO EX: 658 Happy Homeowner Since 2/6/13!
Last App: 4/5/13 Gardening until July 2014