Every Perp exchange has Futures instead of Perps, usually there is 4 futures per year, every season. These don't have any funding fees.

However, they have a premium or discount. So if you buy a March 2024 future today, you will pay a 3-4% premium if you hold till expiry. So its similar to funding rate. However if you plan on keeping the trade short then the premium will still hold, unless there is a massive shift in market trend.

Since you want leverage, there is no other way. Because unless you are buying spot, you will pay either interest on margin, or funding fees for perps, or pay a premium to buy the futures. No other way around these fees.