Your statement 'I don't yet feel strong enough to go to the big chainring and keep cadence at 95+' doesn't really make sense, because there is significant overlap between the gear ratios available in the small and big rings.
Here are the ratios:
50 34
11 4.5 3.1
12 4.2 2.8
13 3.8 2.6
14 3.6 2.4
15 3.3 2.3
16 3.1 2.1
17 2.9 2.0
19 2.6 1.8
21 2.4 1.6
23 2.2 1.5
25 2.0 1.4
You can see that in the 50 tooth chainring you basically have the same ratios in the 16-15 tooth sprockets as you do on the 34 tooth chainring, 11-17 tooth sprockets.
If you want to ride in a higher ratio than 36/11 (and you should actually avoid cross-chaining from the small ring to the largest sprocket), just go to the big ring and work in the lower half of the cassette. If you need lower gears just pop back to the small ring.
You can swap the 34 ring for a 36 without having to change the chain or front derailleur settings, but you will be losing your lowest ratio. If you don't live in a hilly area that may be OK for you.
You can technically swap in a 39 ring also, but they tend to come with a mounting bolt circle diameter of 130mm rather than the 110mm that 52/36 and 50/34 cranks use.