These days a CV is normal for the sum you mentioned. Either you write it yourself or the client advisor does that for you after a personal interview.
If a bank does not do that (for the amount you mentioned), better stay away. The client base of such a bank will be dubious at best.
@JohnnyDoe already mentioned
Cité Gestion S.A.. In your specific case, that's the place to go. At least if you want to bank in Switzerland.
Negotiate the fees for "execution-only" or any other
investment style and good is it.
Swissquote: Well, they certaiy have local clients. If you go by headcount it is quite an impressive number but the AUM per local is not! Locals still prefer a one-stop-shop like Postfinance or a
Banque Cantonale. So, when it comes to "rescue" I would not count on Berne.
Anyway, if you just use it as a broker this matter is irrelevant as it is irrelevant for any other bank in Switzerland.
Still, from my point of view Swissquote is not the right place for the amount you mentioned. You can see that also in the time they let you wait.