Question:
Is there a way to easily force apalike.bst to drop article titles...?
Yes! It requires only some minimal surgery. First, find the file apalike.bst on your system and open it in your favorite text editor; on my system, its first two lines are:
% BibTeX `apalike' bibliography style (version 0.99a, 8-Dec-10), adapted from
% the `alpha' style, version 0.99a; for BibTeX version 0.99a.
Then locate the construct ENTRY{...} (begins on line 43 on my copy of apacite.bst) and, in that construct, the line containing the single word
title
(line 62 in my copy). Comment out this line by placing a single % comment character at the start of the line. Save this file as, say, myapacite.bst somewhere where TeX/LaTeX can find it. If you use TeXLive, for instance, you'll additionally have to run (with sudo privileges) the command mktexlsr; if you use MikTeX, you'll have to call up the Settings program and click on "Refresh FNDB".
Incidentally, this technique -- of commenting out a line in the ENTRY construct of a bst file in order to avoid it showing up in the bibliography printout -- is perfectly general. For instance, if you want to have a style file that never prints out the name of the journal in which some article is published, you could comment out the line journal and obtain the desired result.
Finally, do note that if you run LaTeX on the file makebst.tex to create your own bst file from scratch, you will still have to hand-edit the resulting bst file, as the program does not give you a choice to omit the title of a journal article entirely. Instead, it asks if you want to place the title in quotation marks and how the quotation marks are supposed to look like, e.g., single or double quotes, or single or double guillemets.