Most of the weight training I do is "noiseless". Bands, free weights - although my trainer prefers bands as you work hard to control the return on the bands, exercice balls to do some of the abs/buttock works. Bosu is good for squats and stability stuff, and of course your own weight when doing planks, lunges, etc. So I think that you can get a good workout without heading to the gym when not feeling/able to do so.
Unless you must get to a gym to get some stimulation or interaction with other people. My employer reimburses me for sports activities (although taxable benefit - and not for purchasing own stuff - bummer!) but I barely use it. I used it 3x only to register to some organized bike rides. Good enough.
So I'm sure your trainer will be able to get you something for weight training. Just don't know for warm ups what you could do as I either cycle or run on treadmill for 15 minutes or so before weights.
Helene
Riding a 2014 Specialized Amira LS4 Expert - aka The Zebra!
2015 Specialized Crux e5 - aka Bora Bora bike