You don't mention few important requirements - for example what is the output swing, what is the phase margin you're shooting for, what is the input common mode range since you're considering non-inverting configuration. If you want 300MHz of unity gain frequency and a PM=60-70deg, you'll need to make the non-dominant pole 2-3x higher, that is 600-900MHz. Given you're using 0.35u technology with an Ft of probably around 10GHz, you'll have hard time to push the non-dominant pole close to 1/10 of Ft. Will burn a lot of current to boost the gm of the second stage. This is just a limitation from the technology. This said, have you considered using a gain-boosted cascode OTA? But then the output swing can be problematic and may be the input common-mode range.