I've got a few suggestions for 5-gallon tanks that might work well for your active betta. The Interpet 19l/5 gal halfmoon pod is one I personally like, and I think it's quite suitable for a betta, if I'm being honest.
You can check it out here:
https://www.amazon.co.uk/dp/B00Z934XDI/?tag= (I got the image from the Zorchzon UK website, just to give you an idea).
Another one I like is the Tetra Art Explorer, which is a bit larger at 30l/7.5gals, but it's a really neat tank.
https://www.amazon.co.uk/dp/B00DQSWB28/?tag= (again, the image is from Zorchzon UK).
Lastly, the Fluval Spec V 19l/5 gal tank is also a good option, but you might need to adjust the filter flow to make it more suitable for your betta.
https://www.amazon.co.uk/dp/B009R7D9CS/?tag= (Zorchzon UK image again).
Keep in mind that these tanks might not be the cheapest options, but they look great, and I'm sure you can find them second-hand in good condition for a lower price. I've got the Tetra Art Explorer and the Fluval Spec V myself, and I can vouch for their quality – I got them both second-hand, and they're still going strong.
Of course, there are many more 5-gallon tanks out there, with different prices and styles, so I'm sure others will have some suggestions for you as well.