With the L-Pro there you will lose something like 5% to 10% of the light in Ha and OIII compared to use the L-eXtreme alone. The L-Pro also is not particularly great with halos and reflections, so doubling up filters is not the best idea, you may get reflections between them.
I know it is more expensive, but a filter wheel is a wonderful option. With the drawer option you probably want to have each filter in a separate drawer so you can easily slide them in and out quickly, with many filters this gets expensive too. Taking the time to unscrew and screw in filters increases the risk of dust and dropping them in the dark, etc.
If you ever think you want to expand your range of filters, for example the L-eNhance is an option I use as a strong LP filter, while the L-Ultimate is best for pure NB targets, or if you want to try SO sometime, which I do. So after using drawers I got a filter wheel and love it. Like you I hate doing flats: with the filter wheel get everything pristine once and then it stays that way. As I virtually never take my train apart, I have used wheel for 6 months and four filters so far and have never yet had to retake flats. It is so easy.
Rick