You can try, but you may find that your pH will want to drift upward because of your high TA. My guess is that you'll have a hard time getting much below 7.5 and staying there without fighting a rising pH (and adding acid to compensate). There isn't a real problem operating at the higher pH you are at though your chlorine effectiveness is slightly reduced (not that much though, due to your CYA).

Speaking of CYA, your CYA is too high at 120. Yes, you can try and maintain a minimum chlorine level of 8, but if you pool is exposed to sunlight, then you'll be fighting loss of chlorine every day. I know you said you already drained by half and wanted to try and keep the chlorine level up, but if you find that you have a hard time doing that (because your chlorine loss is high and you are adding lots of chlorine every day), then read on.

My suggestion would be to partially drain and refill your pool water (again). This will lower the values of all of your pool chemicals including CYA and TA unless your fill water is high in TA (i.e. is very hard water). You can use your test kit to test your fill water, mostly for TA and CH (there shouldn't be any CYA in it). Since there wasn't any CH in your pool, I would guess there is no CH in your fill water and usually that would mean your TA in this fill water would also be low (which is all good).

Anyway, that's my two cents...for what it's worth.

Richard