Standard and backdoor Roths both have limits well below $200,000/year, so most of that money will need to be invested in taxable for now.
With your income being too high for Roth IRAs, you might be in a high enough tax bracket to consider tax-exempt bond funds (or ETFs). These buy state and city bonds, which the Federal government doesn't tax, and then pays you interest. If you live in a state with high taxes (CA, NY) there are bond funds that are exempt from those specific state taxes.
Index funds are tax efficient. Right now dividends are about 2%, which means $100,000 invested in index funds will get roughly $2,000 of dividends/year. And most people have a lower 15% tax bracket for those dividends, so you might have $100,000 investment only requiring you pay $300/year in taxes. Unlike index funds, active funds (with no index / trying to beat the market) buy and sell more often, and have more taxes to pay as a result (and more costs).
Vanguard also has index funds that invest internationally, so you can put some fraction of your money there to diversify from US stock index funds. And Vanguard has various tax-exempt bond funds as well.