You might be able to get on to a Masters or a 3rd (Final year) of degree in the UK In the UK a degree takes 3 years and is much more focused than in the USA this means we don't have majors and minors for instance a degree in the UK might be
say Social work (To take your example) you'll have units
Year one:Preparation for Practice;
Issues in CommunicationSociology,
Society and Social Work 1Sociology,
Society and Social Work 2Human Growth Through the Lifecourse
Introduction to Law.
Year two:Forming Partnerships and Work with Others
Social Work Methods and Interventions
Developing Legal Perspectives
Developing Competence in Practice.
Year three
xtending Professional Competence in Practice
Research and Social WorkRisk, Responsibility and Resolution
One option, from:
Social Work with Adults
Social Work with Children and Families.
This is from the website at my uni (Solent) and is the current course every one will do the same units at the same time.
They will be at set times Your associates degree will possibly allow to do a top up 3rd year meaning you'll leave with a BA.
Your SAT and ACT won't come in to it because of your Associates and the 4.0 GPA which I have been led to believe from TV and things is quite high means your looking at some unis which are quite good.
Places like Imperial Collage in London you could apply to Oxbridge (Oxford and Cambridge) (you might not get in but it doesn't mean you can't try.) There are many Russel Group unis you could try like Southampton or Manchester Wikipedia will probably give you a full list.
Your UCAS form will tell you everything to put in. You possibly will have to declare your SAT and or ATC but you associates degree will be more important to the uni.
Good luck.