That's because there's nothing like that in the space. If the stablecoin are giving you want you want why leave them. You can avoid the worries you speak off by taking your profits off the stablecoin and hold them in bitcoin which also has potential for growth. Alternatively your can lock your bitcoin and earn interest annually on them via trusted exchanges like Binance.

Do understand though that the moment you give the control of the your coin to a centralized system like Binance you don't owe those coins anymore (for the period they have control over that coin) and stand the chance of losing those coins so unless you'll comfortable losing them don't engage yourself in this practice.

If you don't find what you seek for then just settle down and invest in bitcoin, in the long run you won't regret that decision and don't have to do much except keeping your investment secured to profit from the currency.