I think one way to slow the growth is reduce the block reward from 25 coins to just 1 coin per block, there is no way the BTC price will jump 25 fold to compensate as more then half the coins are already mined so there is no shortage of supply, and no reason for that much fiat to enter the market.
Great minds think alike (you and Satoshi)! In fact, the block reward will be reduced to just 0.78125000 BTC per block in about 2033.
See entire schedule here:
Original BTC per
Era start year block
--- ---------- -----------
0 2009 50.00000000
1 2013 25.00000000
2 2017 12.50000000
3 2021 6.25000000
4 2025 3.12500000
5 2029 1.56250000
6 2033 0.78125000
7 2037 0.39062500
8 2041 0.19531250
9 2045 0.09765625
10 2049 0.04882813
11 2053 0.02441406
12 2057 0.01220703
13 2061 0.00610352
14 2065 0.00305176
15 2069 0.00152588
16 2073 0.00076294
17 2077 0.00038147
18 2081 0.00019073
19 2085 0.00009537
20 2089 0.00004768
21 2093 0.00002384
22 2097 0.00001192
23 2101 0.00000596
24 2105 0.00000298
25 2109 0.00000149
26 2113 0.00000075
27 2117 0.00000037
28 2121 0.00000019
29 2125 0.00000009
30 2129 0.00000005
31 2133 0.00000002
32 2137 0.00000001
The theory is that there will be enough TX volume that TX fees make up for the lower block subsidies over time