That sounds like a much better plan. When I applied for the visa, it was valid for 90 days. If LicelotteM was it is only 60 days, I'd go with that.
For the record, it's not 60 days from the time the visa is issued to enter the DR to apply for residency, it is 60 days from the date that the visa is issued for your application be accepted in SD. You need to submit the application as early as possible during the period in which the visa is valid.
So, it seems that if you're going to file for a residency visa, you might as well have all the documents that you're going to need to submit to the Immigration Office ready even before you submit your application to the Consulate.