HP printer driver dilemma

I recently installed Windows 7 ultimate (W7) onto my PC. ( Just as an aside, I think that this is probably one of the best windows OS that I have worked with.)
Anyway, I have two HP printers (office-jet 4215, and photo-smart 7550) that don't have drivers for windows 7. I wanted to connect both printers to my main PC, but I was only able to find drivers for the 4215. It is up and running. Now, I want to connect the 7550 but according to HP, there are no W7 drivers available for it at this time. They suggested that I use the desk-jet 5550 drivers.
I have tried following the steps they showed, but nothing seems to work. The only drivers in the list were the desk-jet 5550 (HPA) HP, or desk-jet 5550 (HPA) Microsoft. Supposedly, W7 will automatically load the proper drivers when the printers are connected via USB. This did not happen.
I decided to move the 7550 printer to my second PC, to try to see if I could connect it there, but because I am running a home-group network, the 4215 shows up on the second PC also. I realized this while I was trying to install the 7550 onto the second PC.
Am I doing something wrong, or am I overlooking something obvious? Is there a work-around for this problem, or might I have to resolve that this printer is not compatible with W7?
I am open to any suggestions that will resolve this issue. Thanks.

First thing first, try running the photo-smaert 7550 printer through the Windows 7 Compatibility Center: Windows 7 Compatibility Center home. If you get the green flag there, see if there are any Vista drivers available (sometimes they will work with Windows 7). Let us know what happens.

I am happy to hear that you are liking Windows 7!
Cheers,
Cassandra
Microsoft Windows Outreach Team

I checked the Windows 7 compatibility center and it showed the printer was compatible. I then followed Adrian's suggestion but when it came to the point of connecting the USB and power cable, it could not find the printer and kept asking to try again. I did this twice then gave up. I will check for the Vista drivers, though. Thanks for all the assistance.

OK, I finally figured it out. I followed HP's web site steps to setting up an alternative driver. But, I was not paying attention. In one of the steps it said to click on "printer properties", and I was clicking on "properties" only (DUH!). It is finally working (although it thinks it's a deskjet 5550 vice a photosmart 7550), which is what I want. Thanks all for the support!