Exactly what others have said. There are lots of deals out there. What are you looking for? A property with a lot of upside but with a lower price or turn key property that you'll pay a premium for.
Most investors quote high taxes and utilities as a reason to not go with Norwich and New London, but as long as you do the numbers and the rents are appropriate then it shouldn't matter. Yes those higher costs eat a little into your cash flow, but these are cities with high rent populations. Unit turn around times I've found to be much shorter.
One thing i don't like about Norwich is there seems to be a "Norwich Standard". I had a couple contractors working for me that said "well, if we were in Norwich, that would be good enough..." So unfortunately there are several landlords in Norwich that lean towards the terrible slumlord version of ourselves. I personally HATE when people call me a slumlord when they hear i have rental properties. HOWEVER, there is a HUGE movement to clean up Norwich and to bring back the town. There are many landlords that take pride in there units and are doing great things. This is the primary reason I'm always looking in the area. I believe it will be coming back around and good things to come. Same with New London.