If your budget is 5K, consider a larger machine if you can fit it in.
SB was a fine machine in its day, but the design is typical of pre WW1 machines.
They tend to be short on power and high on price because of the name recignition, simplcity to operate, and weight. They were designed before carbie tooling and coolant pumps were common. Given the choice of a heavy 10 or 13, take the 13. Its hands down a better machine.
A more modern design with heavier construction will be better suted to modern tooling. (lower chater and better surface finishes) The problem for gunsmiths is the newer bigger machines have long head stocks and its difficult to support a barrel at both ends while chambering. That means chambering on a steady rest. A lot of good used manual equiptment has hit the used market with the recent recession. Hunt aroung for a machine in GOOD condition that will meet your needs.
Harginge may probably be outside of your budjet, but well worth looking at. They are a dream to thread with and the HVL is big enough for gun work. They are a leage above the heavy 10.
The EE monarch is long in the head stock, and electricaly complex, but also a fine tool room lathe. The short distance between centers, and long headstock make it less popular for gunsmithing, but have a lot of power and precision in a stiff, compact package. For a basic garage lathe they are hard to beat.
Rivets also have good reptuations.
Leblond servo shifts should be checked under power - the shifter can be a real problem.
Leblond regals are usualy solid machines, and a little simpler.
Clausings are all over the place in quality. The colchester series tends to be very nice. Some of the Clausing / atlas machines are OK, some are not.
And the list goes on ....
Put together a set of specfications.
Figure out what types of tooling are reasonably priced/ popular and find a machine.
Things like ease of chuck change, collets, length of head stock, accessories like steay and follow rests are all important.