There a two reasons to purchase for cash in your situation. First, it's probably earning less than 4% in your savings account and mortgage interest is 4.75%. Second, you can definitely negotiate a lower sales price with a cash offer. The downside is that financial situations can change and you may need some of the cash that's tied up in your retirement home. If you don't have an adequate income stream you may not qualify for a refinance or home equity line of credit and find yourself in a bind.

Murphy
Not knowing your financial portfolio it is a difficult question to answer for you. I would seek the advice of a financial counselor if you don't already have one. As far as the purchase goes the only thing that a loan gives you is an appraisal required by the bank. You can certainly order one yourself, it is presumed to be a buyer's cost, and make your purchase and sale agreement subject to the property appraising at the sales price.
Mary