So I recently bought some AKG K701s and a little Fiio K3 DAC/Amp. I'm really enjoying the setup but would like a little more workability in terms of inputs. The K3 is limited to USB only, and even though its specs are compatible with my setup, it doesn't get as loud as I'd like it to. I'd like to find a way to connect my cans to a turntable or other audio source. In terms of budget, I'd like to stay roughly around the price of the K3, but I'm wondering if there's something better. I've seen some from Schiit, others from Fiio, etc. I'd appreciate some help!

Edit: Thank you all so much for bearing with me despite my dumb questions. I know I'm a beginner here but I appreciate you all sharing your knowledge.