koj, daij

i'm more comfortable adding the base form for which there are refs and google hits.  へっぴり絵 from the original gets 22 google hits, inc. dupes, and there is no good ref for the meaning, only a guess

@@ -5,1 +5,1 @@
-<keb>屁っ放り絵</keb>
+<keb>屁っ放り</keb>
@@ -8,1 +8,1 @@
-<reb>へっぱりえ</reb>
+<reb>へっぴり</reb>
@@ -12,1 +12,10 @@
-<gloss>rough sketch?</gloss>
+<misc>&derog;</misc>
+<gloss>useless person</gloss>
+<gloss>worthless person</gloss>
+</sense>
+<sense>
+<pos>&n;</pos>
+<xref type="see" seq="2728210">屁放り</xref>
+<s_inf>orig. meaning</s_inf>
+<gloss>farting</gloss>
+<gloss>farter</gloss>

0 hits for 屁っ放り絵.

屁っ放り (へっぴり) in daijs, daijr, nikk
daijr: "人をののしっていう語。くだらぬ者。つまらぬ者。"
daijs has two senses, farting, and same as daijr above
nihongo wordnet has farting
nikk says it's short for 屁放男 (へっぴりおとこ):
"江戸時代、安永のはじめ頃、両国で、高低、長短さまざまな音をたてて放屁するのを
見せ物とした男。へっぴり"
fascinating stuff.

This is a guess out of context, seeing as there don't appear to be definitions for this out there.

Text from story: 
部長、次の部誌表紙はまた私のへっぴり絵でいいんすか

I got the reading from the hiragana...