In order to be even considered for FHA (which will allow as small a down payment as you are working with) you need to get your middle score up to 580 or better. Most lenders won't even touch a score that low, but a few (like us) do. Most lenders require at least a 620 credit score.
If you want to move before summer starts you need to find a house like in the next couple weeks, but it doesn't look like you are there yet.
I'd be glad to take a look at your credit to see if there are some improvements that can be made quickly, because that is what you need if you want to be able to buy.
Feel free to message me and I'll see what we can do. Not promising anything but I don't think it's impossible either!