To cook anything, you need a heat source. A few options immediately come to mind - either indoor electric appliances, or an outdoor grill. A hot plate is essentially a small, portable, one- or two-burner electric stove. Set it up on a spare table in another room to replicate your stove. You could also use a slow cooker or toaster oven, which are other heat sources that just require an available electric outlet. Alternatively, you could use an outdoor grill as a heat source, giving you a bit more variety in your cooking options. Each of these options are all relatively inexpensive, and would certainly be a net positive if the alternative is 5 weeks of restaurant bills.
The other major detriment of losing the kitchen is the difficulty of doing dishes. You could use disposable plates/cups/flatware to avoid doing most dishes, but you'll still need a way to clean pots/pans/kitchen utensils. Doing dishwashing in the bathroom sink or shower isn't ideal due to potential for cross-contamination with all the nasty things living there. You may be best off washing dishes outside with a hose, or using the hot tap in the bathroom to fill a bucket and doing the dishes outside - be sure to use biodegradable dish soap for camping.