That a barrel bushing has to fit loosely in the slide in order for the pistol to function is a fallacy.
That a barrel bushing needs extra clearance in the barrel fit is also a fallacy.
Bulls-eye guns for one have proven both of the above to be false.
The trick is to fit the parts CORRECTLY so that there is minimal to no play at lockup. Some clearance between the barrel and the bushing while out of battery is good.
Lockup of the barrel at both ends is required for best accuracy.
That means, in addition to the barrel bushing being a good fit that the barrel feet make proper contact on the slide stop pin.
The barrel lugs make proper contact with the slide lugs.
The barrel hood makes proper contact with the slide.
I recently fit an oversized barrel bushing to my Government Model, and while it took some patience and some elbow grease, its doable with some basic tools and materials.
EGW for example makes barrel bushings to order and was my starting point.
I measured the inside diameter of the slide where the bushing fits and then the outside diameter of the barrel. EGW makes it pretty easy and the part is good quality and not expensive for what you get. They have what is known as an Angle Bore bushing-the bushing bore is machined at an angle to prevent barrel flex which will hurt accuracy and ultimately destroy the bushing. It is clearanced at the bottom rear part of the bushing to allow good function. The barrel bushing is actually locked to the slide by the tab on the bushing itself. The spring cup keeps the bushing from rotating by fitting into the feet of the bushing at the lower end.
I would advise you to measure the barrel O.D. at the muzzle because that is where the barrel locks up when in battery.
Because I ordered the bushing with zero play in both dimensions, the bushing was wrench tight in the slide. I made some lapping compound mixed with oil and worked the bushing into the slide so that while there is no detectable play in the bushing to slide fit, I can rotate the bushing with my hand.
I then coated the barrel and the inside of the bushing with lapping compound and worked it in until the operation was smooth when I cycled the slide.
Was it worth the effort? I think it was, and after the results I got from it, I ordered another one for my Gold Cup Trophy Match, which has about 50K rounds through it and the bushing is showing about .008" total clearance. About 50/50 between the slide, bushing and barrel. The I.D. of the slide was .701" while the barrel is .580", both fairly common dimensions.
My Government Model has over 4K rounds through it with no failures or fractures of any sort, and probably because of my eyes more than anything else, will run nearly equal groups with my Trophy Match out to 20 or so yards. Beyond that, the TM looks better. Just to satisfy my curiosity, I tried to hit the wife's 100 yard rifle target. Wasn't the easiest with those smaller fixed sights, but I did manage to put a magazine full of semi wadcutters on her 12x12 inch target which surprised me.
If your ID/OD dimensions are outside of what EGW normally makes, you can have them make a custom sized barrel bushing for you. Their advertised wait time on custom parts are about 21 days, give or take.
I think you could find other makers who will have or make barrel bushings for your application. The reason I went to EGW is for one, George Smith-the owner, is good at what he does and has a good reputation. His parts are, at least to me, a bargain for what you get.