I've used this for planning, good information about courses, regions, transport, and lodging. Amazon.com  I prefer to stay in B&Bs, and have enjoyed playing many non-famous courses.  Hiring a car for many weeks is likely to be pretty expensive, but train travel is possible between regions.  I don't know about taxis for getting to courses, but that might be cheaper than hiring a car.  I certainly recommend staying in St Andrews for a while, there are 6 courses within the St Andrews Trust, and a shuttle will take you from one to the other, not including the Castle Course.  Beyond that, there are a dozen or more good courses within an hours drive, including Carnoustie and Kingsbarns and a bunch of lesser-known but fabulous courses.   Good luck, Scotland is a fabulous place!

I am looking to do a solo trip to Scotland, maybe 3 to 4 weeks, not golf every day but see some of the country in between. Looking more for convenience of travel to courses  than any particular courses. Any help on  best location, courses, accommodations appreciated.  

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Yeah, I saw that. I'm assuming that will be considered desicration of the course or something and whatever consequences. It should.