First, let me thank you for serving our great country.
Second, finding the right rental is tough these days. The inventory of available rental homes is slim in our Realtor's MLS. There are many lessors who prefer not to pay a fee to an agent so they don't use our MLS. There are many other avenues of finding rentals but beware of the absentee landlord. If you are calling on a property and they can't or won't meet you at the property, it's probably a scam. I have been working the Dover area most of my life and I can help you decipher the good from the bad.
Please feel free to contact me anytime with any questions. You can use my cell # 603-781-4099.
I took a few minutes to see what may be available in our mls. I found two house rentals, one for 1,500/mo and another for 2,995/mo.
Hope to hear from you soon.