The riding position of some cross-country style MTBs is very aggressive, whilst some touring bikes have the bars pretty high and short. Riding position is not directly related to drop vs flat bars, but where you chose to put them in relation to the saddle.
With the modern selection of seatposts and stems, the position of points of contact (pedals/saddle/bars) is not so related to frame geometry as in The Olden Days.
The first order of business is to measure up your current points of contact and plot them (xy) in relation to the bottom bracket. For purposes of comparison, using [xy] coordinates resolves any differences of seat-tube angle and seatpost layback.
Once you know your current setup, decide where you really want points of contact to be, then you can select a frame that permits this without having extremes of post layback or stem size.