I have had good luck growing summer squash, radishes, string beans, lettuce, parsley and other herbs,and yes, even potatoes in good sized containers as sort of an adjunct garden as I run out of space in my raised beds. Since container raised plants have a growing handicap to begin with, I always use a "floating row cover" clipped over them with with the giant sized paper clips from Staples. This keeps out the nasties while letting in the light and water. I use the lightest fabric I can order. Just a couple of suggestions.
1. Containers dry our quickly. Water often and deeply.
2. Watch the fertilizer use. Salts build up quickly in a container and don't wash away easily. I prefer to use a planting mix made up of well composted manure, screened loam and a good potting mix without a lot of additives in it. The only fertilizer I might use during the season is a side dressing of an organic . I'm partial to the Espoma type Garden Tone/ Plant Tone, etc. types. Not much difference between their garden varieties. A few years ago I came back from a late winter quadruple heart by-pass to be able to enjoy my raised beds that season and so I am sure your container plants will assist you in your post operative recovery. Good luck and good growing

Should work fine.
You can get a clear liner for your pot, a seep guard & water once or twice a week.
Check out container forum for a bush type.

sounds like the blooms are not getting pollinated. There is a method to doing this by hand with a paintbrush. I dont know it off hand but if you search this site, or google "hand pollinate squash", I think you will be overrun with info

I believe the pollen should keep on the paintbrush. Get it in there really good when you have a decent blossom. Collect what you can, and place the brush in a plastic bag in an undisturbed place.

Are they young plants? Here is a thread about them producing only male flowers the first few weeks.

Here is a link that might be useful: zukes

I had some zucchini and summer squash growing in cat litter buckets. They did pretty well and produced until it got really hot and humid the past couple of weeks. Now, even though I keep them well watered, the zucchini's don't set right (I have been hand-pollinating). They either shrivel up immediately or grow to about 5 inches and stop (I think maybe blossom end rot). cbluizz, I see that you are in the same zone as me so you might be having the same problem...The squash have been doing a little better (ever couple of pollinated ones actually grows). I have read that zucchini don't always produce well in the summer heat down here. Being in pots probably makes it even tougher.