A few thoughts:-
1. The most important thing with a streamer is its app, and general ease of use. If it cannot play your preferred service or sort albums as you wish then it’ll be a disaster. Get a demo in a shop, or a guaranteed return option.
2. Audiolab make a Play version of your amp with the streamer built in. That will save money, boxes and is probably easier to install.
3. The rub is, Audiolab’s choice of DTS PlayFi isn’t well liked, especially in comparison to the much better Bluesound.
4. As you’ve probably seen the Bluesound doesn’t come in a regular box, so needs siting suitably.
5. Most importantly, have you heard the combination you list? If not, then please try to rectify that. You can’t choose audio from a website, forum, or magazine. You need to hear it and play with everything!
Good luck.