Depends on who the character is you are attempting to arm:
For example your typical average joe in the colonies ca: 1930 would not have been carrying Anything remotely high end by a top English gun maker. Its as well unlikely that he would have owned anything Lee Enfield based as even the #1 Long Lees were still in service with the reserves well into the Second World War. For "Joe" think in terms of either a Martini, a Martini Enfield, a Snider or even a Cap and Ball. Also common were lower end Shotguns.
Now lets say your character was a well funded "Remittance Man". Then the ante gets upped considerably. Double rifles were NEVER cheap however if your character was hunting in the sub continent of India the choice would likely be a Tiger Gun, generaly a Double rifle anywhere from .450 to .577 bore and often BPE {black powder express} as the new Nitro guns were as noted terribly expensive. Most English gunmakers were well represented and there were 100s of gunmakers in the late 19th century making fine arms on the island other than Westley Richards...there was Army Navy, Midland Arms, Hollis, Jefferies are just a few off the top of the noggin' Understand these were relativly short barreled affairs in the 24 to 26" range with external hammers. Another possibility is a Lee Speed commercial Lee Enfield in either .303 or .375. Mausers were mentioned earlier and are another possibility as are 1903 Styers, even commercial Canadian .280 Ross rifles were somewhat popular were range mattered.
Back in the day I scoured Canada, Australia and New Zealand for Brit sporters and outside of Canada and South Africa the high end makers were rather poorly represented. Australia actually received more US manufactured guns in the 19th century the Brit weapons, particularly Winchester lever guns which were highly popular thruout the colonies. New Zealand was primarily English shotguns with a great deal of cut down ex military rifles such as Remington Lees in .43 spainish and long tom #1 Lee Enfields as well as NZ .303 martini Enfield carbines.
India under the Raj was always a hodge podge tho
people tend to get way to romantic with regards to the reality of what was actually out there.