I bet a few people are waiting for me to recommend these, and I hate to disappoint!
https://www.gear4music.com/Guitar-and-Bass/Bass-Guitar-Foam-Case-by-Gear4music/C87
Honestly one of the best things I've bought in years - in fact I bought one as a spare in case the first ever gives up the ghost. This is looking extremely unlikely at the moment, probably 6 or 7 years down the line. Used it on every gig I've done with my main band, so at least 500 gigs in and out of our vehicle. Still looks virtually new, and has protected my bass perfectly. Lighter than a standard case, tons more protection than most gig bags, shaped so not overly large and dead easy to use. Quite a few mates have seen mine and got one, everyone commenting how good they are. Best thing is the price - £39.99. You really can't go wrong. A few other companies do ones not a million miles away (SKB, Gator?) but they tend not to be shaped and therefore not as user friendly IMO. And cost a fair bit more too....🤨
(just to add that my 4 string jazz fits in one of these, so although I can't guarantee your 5 er will, there is a fair bit of space around the headstock on mine so chances are it should.)