Even IC5 is AF, but it sees a very quaint signal, so noise voltage and noise figure is paramount there. IC5 gives about 40 dB of gain, after which the total receiver noise figure (or sensitivity) can't be significantly degraded even with noisy stages.
I think engineering requirements for IC10 ask for high output current, otherwise any opamp would be fine. OPxxx series might have nice high-current opamps intended for headphone amps.
I was recommending TS922 because it combines all aspects 1) cheap, 2) similar supply voltage rating, 3) low noise (9 nV/rtHz), 4) high output current (80 mA), 5) low supply current (1mA per amp), at least in this context. TLC272 comes short when it comes to output current; from the datasheet it looks it's not even specified, which hints towards a nonsignificant figure. With 25 nV/rtHz you might still pull off a reasonable sensitivity overall. If you want to stick to them, I'd suggest replacing only IC6-IC9, and leave IC5 and IC10 as originally intended.
Pretty much all 2-channel 8-pin op-amps are pin-to-pin compatible.?
Disclaimer: I am not the designer of this circuit, it's only my two cents putting myself in the designer's boots. Overall it's a very neatly designed circuit!
Karlis YL3JG