I didn't realize that barracks expenditure was the problem, thought it was basically providing a free bed-and-breakfast for traveling soldiers
It's a little more complicated. The feeding and housing for the British military in the 18th and early 19th century would be strange to modern soldiers.
Officers, being gentlemen, generally arranged their own billets and paid for their own food. On campaign, they could draw food at the same scale as their men, but quite often (at least in less remote areas) would employ their servants to prepare foodstuffs they had brought along with them (which would often include good wine and spirits). In towns officers either rented rooms or a house and either contributed to food purchased for the household or again, bought their own.
The various garrisons in the remote forts were housed and fed there.
Troops on the march were typically allocated space in various barns, inns and large homes along the march route, but were fed by their own rations (1 pound of beef or 1,5 pounds of pork, and 1 pound of potatoes per man per day, plus 8 ounces of vegetables/per man/week, plus 1 pound of bread per five men per day (or so, I'm going off memory here) and, depending on locale 1 pint of rum, 1/2 pint of wine or up to one gallon of small beer (less than 4%)) with the troops being responsible for cooking their own meals - although once in a more permanent camp cooks were often appointed.
Where it got tricky was in the urban centres where there were concentrations of troops, but no fortifications, or insufficient space for them. Here the British Army quartered the troops on the locals - people were told that you have to put up "x" number of soldiers in your house and feed them. The homeowner was supposed to provide them with food and drink at the same scale as the Commissary did. Homeowners were supposed to be compensated for the food and drink, but shortages of coin and general corruption often meant that homeowners took it in the shorts and had to accept IOUs or whatever foodstuffs the Commissary (not an actual part of the military, just the government office created to feed and cloth it) had to hand to compensate you.
There were also the general complaints that one would expect if you were told you had to allow several strangers to live in your house and that you'd be expected to cook for them and give them drink in exchange for some money back for said food and drink. Sometimes you'd get a good bunch who'd help out with chores, wouldn't make passes at your wife and daughters, and who wouldn't act like hooligans. And then there are the ones who rationalized that they were here for a good time, not a long time, and while the Sgt wasn't looking....
And from a military efficiency point of view it was less than optimal, as you needed to "beat the town" to assemble your troops if an emergency arose (literally done by sending the drummers out to sound the assemble).
The solution to those problem was to build permanent barracks. The problem was that Parliamentarians, whether British or colonial, were of the mind that such things cost $, and we don't want to pay any more taxes, so we won't pay for barracks, the Crown will eventually disband the units not on the frontier and our taxes will stay low....
So the problem was kicked down the road in the finest traditions of politicians everywhere.
When the troops weren't disbanded or sent to the frontier (because the 13 colonies were experiencing large amounts of civil unrest), they still needed to be housed somewhere, and the additional troops needed to keep the King's peace needed someplace to go - well, we can see where that went.