A question - can you hear your phone (I’m assuming you have a direct connection (MFI) between the phone and your aids as you are asking about a ConnectClip)? If not, then the following is probably not a reasonable option. If you need headphones, I might investigate a headset or headphones that are “closed” and have a good seal around your head and are specified to provide a high level of passive noise reduction. Additional active noise reduction might help but probably not as much as devices with a large amount of passive noise reduction. I can use BeyerDynamic DT 770 pro “monitor” headphones with my OPN S 1 aids without feedback but my hearing correction is much different than yours so my experience might not match yours. If you need additional volume from a headset or headphones, you could use a reasonable quality headphone amplifier that works with the rated impedance of the headphones (some good headphones come with a number of possible impedance values). Many computer audio devices won’t drive certain headphones very well or loud for a number of reasons.
I expect a ConnectClip would pick up the background noise. I have a ConnectClip and don’t use it on conference calls as my office is noisy (AC fans in an older building with a modified HVAC system) and others complained until I muted the mic on the ConnectClip.
For Zoom, I’ve found that my Oticon OPN S 1 aids work well with an iPad Pro and others have not complained about background noise. I turn off Bluetooth on my iPhone and turn on Bluetooth on the iPad for Zoom. If need be, I turn down the hearing aid microphones when on Zoom so most of the signal is from Zoom rather than from the office. Works pretty well for me so far - MUCH better than using the ConnectClip with a computer. Zoom on the iPad uses the built-in microphones on the iPad - newer models of the iPad Pro seem to have decent noise reduction (five microphones) on the outgoing sound. I have no experience with other models of iPad - the later Pro models may have better audio with the multiple microphones.
Good luck,
Stuart