I carb in my 20L corny using a regular under-counter fridge, I found that by using a section of narrower gauge pipe I could feed the gas pipe through the drain hole in the back of the fridge and keep tings tidy. This is a dedicated fridge though, it'd be no good if I had to share the fridge with food too.
Once carbonated I then bottled using a beer gun but have since moved to counter-pressure because it's easier, cleaner and as it turns out, also quicker. After that, beers get stored in the 'cupboard of doom' and cooled as required and I've not had any gushers yet.
If you're getting gushers then carbonating in a keg before botting will probably help as long as the yeast have consumed all the sugars (presuming the issues are just over carbonation rather than infection). But if it's only a process/priming issue then it's something you should be able to correct without the need for a keg, what's your priming routine? - of course if you want to do some kegging then that's fine, I got one because I wanted one!