you can get a cam bearing removal tool in there by removing your radiator (which you will have to do anyway to remove your cam) and also removing your hood latch support. clean sailing there. do it right, or you will have to do it all again and spend more money. drilling a hole means you are going to put a lot of metal shavings in your engine, no matter how hard you may try to minimize the effects of drilling, let alone having to deburr your bearing after drilling a hole in it.
if the machine shop will not do "good" on their work, rake their name through the mud or take them to small claims court, but and I repeat "BUT", the first time you take that drill to the engine and begin to modify their work, they can say they installed it correctly, but you messed it up. They are no longer liable for owner modified work or additions.